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 an explicit formula for the arithmetic sequence.
$a subscript n equals a subscript n minus 1 end subscript plus 2.4 semicolon a subscript 1 equals negative 1$

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 = 2.4n - 3.4

Explanation:

We have given $a subscript n equals a subscript n minus 1 end subscript plus 2.4$ and $a subscript 1 equals negative 1$

We have to find the explicit formula for this AP.

Step 1 of 1:
We know that the common difference d is also equal to $d equals a subscript n minus a subscript n minus 1 end subscript$
Now in given question we have $a subscript n equals a subscript n minus 1 end subscript plus 2.4$
Ie,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n minus a subscript n minus 1 end subscript equals 2.4 end cell row cell d equals 2.4 end cell end table$
And a₁ = -1
So, The explicit formula will be
$a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell a subscript n equals negative 1 plus left parenthesis n minus 1 right parenthesis left parenthesis 2.4 right parenthesis end cell row cell a subscript n equals negative 1 plus 2.4 n minus 2.4 end cell row cell a subscript n equals 2.4 n minus 3.4 end cell end table$

Related Questions to study

Write an explicit formula for the arithmetic sequence. $a subscript n equals a subscript n minus 1 end subscript minus 3 semicolon a subscript 1 equals 10$

Write an explicit formula for the arithmetic sequence. $a subscript n equals a subscript n minus 1 end subscript minus 3 semicolon a subscript 1 equals 10$

Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
$straight F left parenthesis straight x right parenthesis equals fraction numerator 6 x over denominator 2 x plus 1 end fraction$

Use long Division to rewrite each rational function. Find the asymptotes of and sketch the graph.
$straight F left parenthesis straight x right parenthesis equals fraction numerator 6 x over denominator 2 x plus 1 end fraction$

The cost to rent a bike is $$$ 28 for the first day plus $$$ 2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting a bike for 8 days?

The cost to rent a bike is $$$ 28 for the first day plus $$$ 2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting a bike for 8 days?

parallel

The daily attendance at an amusement park after day x is given by the function
f(x) = $fraction numerator 3.000 x over denominator x squared minus 1 end fraction$ . On Approximately which day will the attendance be 1125 people ?

The daily attendance at an amusement park after day x is given by the function
f(x) = $fraction numerator 3.000 x over denominator x squared minus 1 end fraction$ . On Approximately which day will the attendance be 1125 people ?

Graph each function and identify the horizontal and vertical asymptotes
$straight F left parenthesis straight x right parenthesis equals fraction numerator 3 x squared minus 11 x minus 4 over denominator 4 x squared minus 25 end fraction$

Graph each function and identify the horizontal and vertical asymptotes
$straight F left parenthesis straight x right parenthesis equals fraction numerator 3 x squared minus 11 x minus 4 over denominator 4 x squared minus 25 end fraction$

Graph each function and identify the horizontal and vertical asymptotes
$r left parenthesis x right parenthesis equals fraction numerator 2 x squared plus 7 over denominator 1 plus 2 x plus x end fraction 2$

Graph each function and identify the horizontal and vertical asymptotes
$r left parenthesis x right parenthesis equals fraction numerator 2 x squared plus 7 over denominator 1 plus 2 x plus x end fraction 2$

parallel

Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3

Write an equation of the line that passes through the point (4, 5) and is perpendicular to the graph of y = 2x + 3

Graph each function and identify the horizontal and vertical asymptotes
$straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction$

Graph each function and identify the horizontal and vertical asymptotes
$straight F left parenthesis straight x right parenthesis equals fraction numerator 3 over denominator x minus 2 end fraction$

Graph each function and identify the horizontal and vertical asymptotes
$straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1$

Graph each function and identify the horizontal and vertical asymptotes
$straight F left parenthesis straight x right parenthesis equals to the power of x 2 minus 1$

parallel

Write an equation of the line in slope-intercept form that passes through the point (-3, 5) and is parallel to $y equals negative 2 over 3 x$ .

Write an equation of the line in slope-intercept form that passes through the point (-3, 5) and is parallel to $y equals negative 2 over 3 x$ .

What is the graph of f(x $table attributes columnspacing 1em end attributes row cell 9 x squared minus 25 end cell row cell x squared minus 5 x minus 6 end cell end table$

What is the graph of f(x $table attributes columnspacing 1em end attributes row cell 9 x squared minus 25 end cell row cell x squared minus 5 x minus 6 end cell end table$

Direction : Fill in the blank with correct letter.
J _ _ p

Direction : Fill in the blank with correct letter.
J _ _ p

parallel

English-One-to-One

Direction : Identify the image and choose the correct word.

Direction : Identify the image and choose the correct word.

English-One-to-OneGeneral

Caroline loves reading history.
Which word is the gerund in the above sentence?

Caroline loves reading history.
Which word is the gerund in the above sentence?

Direction : Complete the following sentences by choosing suitable words:
The ____________ had a small birthday party celebration.

Direction : Complete the following sentences by choosing suitable words:
The ____________ had a small birthday party celebration.

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.