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What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2?

User Knellr
by
7.0k points

2 Answers

3 votes

Answer:5/8

Explanation:

User Tdebeus
by
7.5k points
7 votes

Answer:


(5)/(8)

Explanation:

The n th term of a geometric sequence is


a_(n) = a₁
(r)^(n-1)

where a₁ is the first term and r the common ratio

here a₁ = 10 and r =
(1)/(2), thus


a_(5) = 10 ×
(1/2)^(4) = 10 ×
(1)/(16) =
(5)/(8)

User Vishal Arora
by
7.2k points