Question

What is the common difference d of the sequence nine -8 -25 -42 -59

Answer 1

The common difference d in the given sequence is -17

Explanation:

We need to find the common difference d of the following sequence 9 -8 -25 -42 -59

We have a₁ = 9

and a₂ = -8

The formula used is:
`a_n=a_1+(n-1)d`

By putting values we can find the value of d

We have n=2, a₂ = -8, a₁ = 9 and we need to find d

`a_n=a_1+(n-1)d\\a_2=a_1+(2-1)d\\-8=9+d\\d=-8-9\\d=-17`

So, the common difference d in the given sequence is -17