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Gre4nikov [31]
1 year ago
15

Find the fifth term and the nth term of the geometric sequence whose initial term a, and common ratio r are given.

Mathematics
1 answer:
Goryan [66]1 year ago
5 0

Answer:

a₅ = 80 , a_{n} = 5(2)^{n-1}

Step-by-step explanation:

to find a term in the geometric sequence multiply the previous term by r

a₁ = 5

a₂ = a₁ × 2 = 5 × 2 = 10

a₃ = a₂ × 2 = 10 × 2 = 20

a₄ = a₃ × 2 = 20 × 2 = 40

a₅ = a₄ × 2 = 40 × 2 = 80

the nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

here a₁ = 5 and r = 2 , then

a_{n} = 5 (2)^{n-1}

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