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ANEK [815]
2 years ago
13

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.

Mathematics
1 answer:
Vadim26 [7]2 years ago
8 0

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )

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