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

Maths-

General

Easy

Question

Write explicit formula. $a subscript n equals a subscript n minus 1 end subscript plus 15 semicolon a subscript 1 equals 8$

hint Hint:

A sequence is said to be arithmetic if the common difference is always constant.

The General formula of any AP is $a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d$ .

The correct answer is: a_n=15n-7

Explanation:

We have given $a subscript n equals a subscript n minus 1 end subscript plus 15 comma a subscript 1 equals 8$

We have to find the explicit formula of the given sequence.

Step 1 of 1:
We know that the recursive formula of an AP is $a subscript n equals a subscript n minus 1 end subscript plus d$ , where d is common difference.
Here we have $a subscript n equals a subscript n minus 1 end subscript plus 15$
So, d = 15
Also, We have a₁ = 8
So, The explicit formula will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d end cell row cell a subscript n equals 8 plus left parenthesis n minus 1 right parenthesis 15 end cell row cell a subscript n equals 15 n minus 7 end cell end table$

Related Questions to study

Graph each function $f left parenthesis x right parenthesis equals fraction numerator 4 x minus 3 over denominator x plus 8 end fraction$

Graph each function $f left parenthesis x right parenthesis equals fraction numerator 4 x minus 3 over denominator x plus 8 end fraction$

What is the graph of the function $f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction$

What is the graph of the function $f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction$

Write recursive formula and explicit formula. -15,-6,-3,12,21,...

Write recursive formula and explicit formula. -15,-6,-3,12,21,...

parallel

The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.

The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.

Write recursive formula and explicit formula. 62,57,52,47,42,...

Write recursive formula and explicit formula. 62,57,52,47,42,...

Write recursive formula and explicit formula. -4, 5,14,23,32,...

Write recursive formula and explicit formula. -4, 5,14,23,32,...

parallel

What are the vertical and horizontal asymptotes of the graph of each function?
$fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction$

What are the vertical and horizontal asymptotes of the graph of each function?
$fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction$

The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.

The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.

Write recursive formula and explicit formula. 12,19,26,33,40,...

Write recursive formula and explicit formula. 12,19,26,33,40,...

parallel

What are the vertical and horizontal asymptotes of the graph of each function?
$G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction$

What are the vertical and horizontal asymptotes of the graph of each function?
$G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction$

Are graphs of the equations parallel, perpendicular or neither?
$y equals negative 5 x space straight & space 25 x plus 5 y equals 1$

Are graphs of the equations parallel, perpendicular or neither?
$y equals negative 5 x space straight & space 25 x plus 5 y equals 1$

Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...

Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...

parallel

Are graphs of the equations parallel, perpendicular or neither?
$y equals 2 x plus 6 space straight & space y equals 1 half x plus 3$

Are graphs of the equations parallel, perpendicular or neither?
$y equals 2 x plus 6 space straight & space y equals 1 half x plus 3$

Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...

Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...

What are the horizontal asymptotes for the graph
$f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction$

What are the horizontal asymptotes for the graph
$f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction$

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.