Question

1. Consider the sequence –8, –5, -2, 1, 4, …

D) Find the iterative rule for the sequence.


e) Find the tenth term in the sequence.

Answer 1

an = a1 plus d(n -1)
its the arithmetic sequence formula

a1= first term in the sequence
d = the difference which you can find by subtracting -5 from -8 = 3

to find the 10th term in the sequence substitute n for 10

a10 = -8 + 3(10 -1)
a10 = -8 + 3(9)
a10= 19