Question

First term is 20 common difference is 4 find the 37th term

Answer 1

a₃₇ = 164

Explanation:

using this formula to find the nth term

a₃₇ = a₁ + (n-1)d

a₃₇ = 20+ (37-1)4

a₃₇ = 20+ (36)4

a₃₇ = 20 + 144

a₃₇ = 164

Answer 2

Here is our formula for finding the nth term of an arithmetic sequence.

`a_(n) = a_(1) + (n - 1)d`

In this formula,
`a_(n)` represents the term we want to find,
`a_(1)` is our first term,

n is the term we want to find, and d is the common difference.

So we have
`a_(37) = 20 + (37 - 1)4`.

Simplifying inside the parentheses, we have

20 + 36 · 4 or 20 + 144 which gives us 164.

So the 37th term of the sequence is 164.