Answer:
The common difference d in the given sequence is -17
Step-by-step 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: [tex]a_n=a_1+(n-1)d[/tex]
By putting values we can find the value of d
We have n=2, a₂ = -8, a₁ = 9 and we need to find d
[tex]a_n=a_1+(n-1)d\\a_2=a_1+(2-1)d\\-8=9+d\\d=-8-9\\d=-17[/tex]
So, the common difference d in the given sequence is -17
