Find the 6th term of this geometric sequence 1, 7, 49, 343, …

Aryanna Blake 2022-10-23 Answered
Find the 6th term of this geometric sequence 1, 7, 49, 343, …
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Answers (1)

erkvisin7s
Answered 2022-10-24 Author has 12 answers
the geometric sequence given is:
1,7,49,343 ...
When provided with a geometric sequence we must first calculate the common ratio r

r is obtained by dividing a term by its preceding term
1) 7 1 = 7
2) 49 7 = 7

for this sequence the common ratio r=7 the first term a=1
and n=6

The 6th term can be obtained through formula
T n = a r n - 1 = 1 × 7 ( 6 - 1 )
= 1 × 7 5
= 1 × 16807 = 16807
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