Question

Find the 10th term of the geometric sequence show below

Answer 1

Answer:

-19,6830x^26

Step-by-step explanation:

The nth term of a geometric sequence is expressed as;

Tn -= ar^n-1

a is the first term

is the number of terms

r is the common ratio

Given

a = -10x^8

r = 30x^10/-10x^8 = -3x^2

n = 10

Substitute

a10 =  (-10x^8)(-3x^2)^10-1

a10 =  (-10x^8)(-3x^2)^9

a10 =  -10x^8)(19,683)x^18

a10 = -19,6830x^26

Hence the tenth term is -19,6830x^26