planhetkk

planhetkk

Answered

2022-10-10

The first term in a certain geometric sequence is x and the fourth term in the sequence is 27x, where x is a nonzero number. Which of the following represents the tenth term?

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Johnny Parrish

Johnny Parrish

Expert

2022-10-11Added 12 answers

The nth term of a geometric sequence is given as:
a r n - 1
Where:
a is the first term, r is the common ratio and n is the nth term.
First term is x
Fourth term is 27x
Using this:
x r 4 - 1 = 27 x
r 3 = 27
r = r 3 3 = 27 3 = 3
10th term:
n 10 = x ( 3 ) 10 - 1 = x ( 3 ) 9

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