Find the 6th term of the geometric sequence 4, 20, 100,...

racmanovcf

racmanovcf

Answered question

2022-10-18

Find the 6th term of the geometric sequence 4, 20, 100,...

Answer & Explanation

Spielgutq1

Spielgutq1

Beginner2022-10-19Added 17 answers

the geometric sequence given is:
4,20,100 ...
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) 20 4 = 5
2) 100 20 = 5

for this sequence the common ratio r=5 the first term a=4
and n=6

The 6th term can be obtained through formula
T n = a r n - 1 = 4 × 5 ( 6 - 1 )
= 4 × 5 5
= 4 × 3125 = 12500

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