Question

What is the 83rd term for the arithmetic sequence

Answer 1

Answer:

306

Step-by-step explanation:

We know that the formula of an arithmetic sequence with the same common difference is given by:

$a_n=a_1+(n-1)d$

where $a_n$ is the term that we want to find out,

$a_1$ is the first term of the sequence,

$n$ is the number or position of the unknown term; and

$d$ is the common difference.

Here, $a=-22$ and $d=-18-(-22)=4$.

So putting in these values in the formula to get:

$a_83=(-22)+(83-1)(4)$

$a_83=-22+328$

$a_83=306$

Therefore, the 83rd term of the given sequence is 306.

Answer 2

Answer:

306

Step-by-step explanation:

given an Arithmetic sequence with I term

a = -22, and common difference d = -18-(-22) = 4

We have to find the nth term

We know that  an arithmetic sequence is a sequence which follows a pattern of adding the same d to the previous term to get the successive term.

Hence we get

$a_{n} =a+(n-1)d\\a_{83} =-22+(83-1)4 \\= -22+328\\= 306$

Thus we get 83rd term = 306