Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Algebra

Easy

Question

$Let space a subscript 1 comma a subscript 2 comma a subscript 3 midline horizontal ellipsis space space be space straight a space harmonic space progression space such space that space a subscript 1 equals 5 space space and space a subscript 20 equals 25 space space Value space of space straight n space for space which space a subscript n space space is space maximum space is space$

$22$
$23$
$24$
$25$

The correct answer is: $24$

Related Questions to study

$For space any space three space positive space real space numbers space straight a comma space straight b space and space straight c comma 9 open parentheses 25 a squared plus b squared close parentheses plus 25 open parentheses c squared minus 3 a c close parentheses equals 15 b left parenthesis 3 a plus c right parenthesis Then$

$For space any space three space positive space real space numbers space straight a comma space straight b space and space straight c comma 9 open parentheses 25 a squared plus b squared close parentheses plus 25 open parentheses c squared minus 3 a c close parentheses equals 15 b left parenthesis 3 a plus c right parenthesis Then$

MathematicsAlgebra

$If space the space lengths space of space the space sides space of space straight a space triangle space are space in space AP space and space the space greatest space angle space is space double space the space smallest comma space then space straight a space ratio space of space lengths space of space the space sides space of space this space triangle space is space$

$If space the space lengths space of space the space sides space of space straight a space triangle space are space in space AP space and space the space greatest space angle space is space double space the space smallest comma space then space straight a space ratio space of space lengths space of space the space sides space of space this space triangle space is space$

MathematicsAlgebra

If $sum from n equals 1 to 5 of fraction numerator 1 over denominator n left parenthesis n plus 1 right parenthesis left parenthesis n plus 2 right parenthesis left parenthesis n plus 3 right parenthesis end fraction equals k over 3$ , then k is equal to

If $sum from n equals 1 to 5 of fraction numerator 1 over denominator n left parenthesis n plus 1 right parenthesis left parenthesis n plus 2 right parenthesis left parenthesis n plus 3 right parenthesis end fraction equals k over 3$ , then k is equal to

MathematicsAlgebra

parallel

Let $straight T subscript straight r$ be the $straight r to the power of th$ term of an A.P r=1,2 ., for If for some positive integers m and n, we have $straight T subscript straight m equals 1 divided by straight n$ and $straight T subscript straight n equals 1 divided by straight m$ the $straight T subscript mn equals$

Let $straight T subscript straight r$ be the $straight r to the power of th$ term of an A.P r=1,2 ., for If for some positive integers m and n, we have $straight T subscript straight m equals 1 divided by straight n$ and $straight T subscript straight n equals 1 divided by straight m$ the $straight T subscript mn equals$

MathematicsAlgebra

Suppose a, b and c are in A.P. and $a squared comma b squared text and end text c squared$ are in G.P. If $a less than b less than c$ and $a plus b plus c equals 3 space divided by space 2$ , then the value of a is

Suppose a, b and c are in A.P. and $a squared comma b squared text and end text c squared$ are in G.P. If $a less than b less than c$ and $a plus b plus c equals 3 space divided by space 2$ , then the value of a is

MathematicsAlgebra

Four different integers form an increasing A.P. such that one of them is the square of the remaining numbers. Then the largest number is

Four different integers form an increasing A.P. such that one of them is the square of the remaining numbers. Then the largest number is

MathematicsAlgebra

parallel

If $1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus horizontal ellipsis horizontal ellipsis. infinity equals pi squared over 6$ ,then $1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus 1 over 5 squared horizontal ellipsis horizontal ellipsis$ equals

If $1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus horizontal ellipsis horizontal ellipsis. infinity equals pi squared over 6$ ,then $1 over 1 squared plus 1 over 2 squared plus 1 over 3 squared plus 1 over 5 squared horizontal ellipsis horizontal ellipsis$ equals

MathematicsAlgebra

If $a subscript 1 comma a subscript 2 midline horizontal ellipsis midline horizontal ellipsis times a subscript n$ are in H.P. then $fraction numerator a subscript 1 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma fraction numerator a subscript 2 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma horizontal ellipsis..... fraction numerator a subscript n over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis plus a subscript n minus 1 end subscript end fraction$ are in

If $a subscript 1 comma a subscript 2 midline horizontal ellipsis midline horizontal ellipsis times a subscript n$ are in H.P. then $fraction numerator a subscript 1 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma fraction numerator a subscript 2 over denominator a subscript 2 plus a subscript 3 plus horizontal ellipsis plus a subscript n end fraction comma horizontal ellipsis..... fraction numerator a subscript n over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis plus a subscript n minus 1 end subscript end fraction$ are in

MathematicsAlgebra

If x, y, z real and $4 x squared plus 9 y squared plus 16 z squared minus 6 x y minus 12 y z minus 8 z x equals 0$ , then x, y, z are in

If x, y, z real and $4 x squared plus 9 y squared plus 16 z squared minus 6 x y minus 12 y z minus 8 z x equals 0$ , then x, y, z are in

MathematicsAlgebra

parallel

If x,2y,3z are in A.P. where the distinct numbers x, y, z are in G.P. then the common ratio of the G.P. is

If x,2y,3z are in A.P. where the distinct numbers x, y, z are in G.P. then the common ratio of the G.P. is

MathematicsAlgebra

If $a squared plus b squared comma a b plus b c$ and $b squared plus c squared$ are in G.P., then a, b, c in

If $a squared plus b squared comma a b plus b c$ and $b squared plus c squared$ are in G.P., then a, b, c in

MathematicsAlgebra

Let $a subscript 1 comma a subscript 2 comma a subscript 3 comma horizontal ellipsis midline horizontal ellipsis midline horizontal ellipsis$ be terms of an A.P. If $fraction numerator a subscript 1 plus a subscript 2 plus horizontal ellipsis horizontal ellipsis a subscript p over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis horizontal ellipsis a subscript 9 end fraction equals p squared over q squared comma p not equal to q$ then $a subscript 6 over a subscript 21$ equals

Let $a subscript 1 comma a subscript 2 comma a subscript 3 comma horizontal ellipsis midline horizontal ellipsis midline horizontal ellipsis$ be terms of an A.P. If $fraction numerator a subscript 1 plus a subscript 2 plus horizontal ellipsis horizontal ellipsis a subscript p over denominator a subscript 1 plus a subscript 2 plus horizontal ellipsis horizontal ellipsis a subscript 9 end fraction equals p squared over q squared comma p not equal to q$ then $a subscript 6 over a subscript 21$ equals

MathematicsAlgebra

parallel

In an A.P. of which a is the first term, if the sum of the first p terms is zero, then the sum of the next q terms is

In an A.P. of which a is the first term, if the sum of the first p terms is zero, then the sum of the next q terms is

MathematicsAlgebra

If the sum and product of the first three terms in AP are 33 and 1155, respectively, then a value of its 11^th term is

If the sum and product of the first three terms in AP are 33 and 1155, respectively, then a value of its 11^th term is

MathematicsAlgebra

Let the sum of the first n terms of a non- constant AP $a subscript 1 comma a subscript 2 comma a subscript 3 horizontal ellipsis horizontal ellipsis$ be $50 n plus fraction numerator n left parenthesis n minus 7 right parenthesis over denominator 2 end fraction A comma$ where A is a constant, If d is the common difference of this AP, then the ordered pair $open parentheses d comma a subscript 50 close parentheses$ is equal to

Let the sum of the first n terms of a non- constant AP $a subscript 1 comma a subscript 2 comma a subscript 3 horizontal ellipsis horizontal ellipsis$ be $50 n plus fraction numerator n left parenthesis n minus 7 right parenthesis over denominator 2 end fraction A comma$ where A is a constant, If d is the common difference of this AP, then the ordered pair $open parentheses d comma a subscript 50 close parentheses$ is equal to

MathematicsAlgebra

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.