Question

What is the equation used to find the nth term of the arithmetic sequence: -9, -4 1, 6, 11...

a^n =-9-5n

a^n =5-9 (n-1 )

a^n =−9+(n−1)⋅5

a^n=-9 (5)^(n-1)

Answer 1

a^n=-9+(n-1).5

Explanation:

Arithmetic sequence=a+(n-1)d

a=-9

n=?

d=+5

Arithmetic sequence=-9+(n-1)5

=-9+5n-5

Collect like terms

-9-5+5n

-14+5n

So the final answer is

an=-9+(n-1).5