Question

1) Find the first term, common difference, and give a recursive formula for the sequence.

8th term is 55; 15th term is 118

options:

a) first term= -8, diff= 9, recursice formula= a^n-1+9

b) -8, 9, a^n-1+9

Answer 1

we know that nth term is a1+(n-1)d.

then generate two-equation after that solve both equations and found 1st term is -8 and the common difference is 9.

the recursive formula is an=an-1+9.

all steps are shown in the image.

if any doubt asks in the comments.

thank you.