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5 votes
Find the sixth term of the

geometric sequence, given the
first term and common ratio.
a =5 and r=3/2
2

User ShanN
by
8.0k points

1 Answer

4 votes

Answer:


T_6 = 37.96875

Explanation:

Given


a =5


r = (3)/(2)

Required

Determine the 6th term

This is calculated as:


T_n = ar^{n-1

Where


n = 6

Substitute
n = 6,
a =5 and
r = (3)/(2)


T_6 = 5 * ((3)/(2))^{6-1


T_6 = 5 * ((3)/(2))^{5


T_6 = 5 * ((243)/(32))


T_6 = 5 * (243)/(32)


T_6 = (5 *243)/(32)


T_6 = (1215)/(32)


T_6 = 37.96875

User Cyril Godefroy
by
8.1k points

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