Question

A1, is equal to 7, and the sixth term, a6, is

equal to 37. Which number represents the
common difference of the arithmetic
sequence?

Answer 1

Answer: d=6.

Explanation:

Let's write the condition of the problem:

a₁=7 a₆=37 d=?

The formula for the nth member of an arithmetic progression is:

`\boxed{a_n=a_1+(n-1)*d}`

Hence,

a₆=a₁+(6-1)*d

37=7+5*d

37-7=7+5*d-7

30=5*d

Divide the left and right sides of the equation by 5:

6=d

So, d=6.