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Find the 8th term of the geometric sequence 3, 9, 27, ...

User Slowik
by
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1 Answer

3 votes

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

3

2) 27

---- = 3

9

for the sequence

  • Common ratio r = 3
  • First term a = 3
  • n = 8

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

n

7

= 3 × 3

= 3 × 2187 = 6561

User Peter N Lewis
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6.7k points