Question

What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

Answer 1

Given:

A arithmetic sequence  is given -12, -7, -2, 3, ... ?

To find:

We have to find the thirty-second term of the arithmetic sequence.

Step-by-step explanation:

• Here we notice that the series is increased by a common difference 5 so, the concept of athematic progression is used.
• The formula of an arithmetic sequence is given by:

        $A_n=a+(n-1)d$

        where a is the first term, d is a common difference, and n is

        the number of terms.

        Here, $a=-12, d=-7-(-12)=5$

• Put the values in the formula

        $A_3_2=-12+(32-1)5\\A_3_2=-12+155\\A_3_2=143$

So, Thirty-second term of the arithmetic sequence is 143.