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What are the first four terms of the geometric sequence an=2 an-1 and a1=3​

What are the first four terms of the geometric sequence an=2 an-1 and a1=3​-example-1

2 Answers

0 votes

Answer:

B.
3,6,12,24

Explanation:

We are given that


a_n=2a_(n-1)


a_1=3

We have to find the first four terms of G.P

Substitute n=2


a_2=2a_1=2(3)=6

Substitute n=3


a_3=2a_2=2(6)=12

Substitute n=4


a_4=2a_3=2(12)=24

Hence, the first four terms of G.P are given by


3,6,12,24

Option B is true.

User Allen Zeng
by
8.0k points
4 votes

Answer:

3, 6, 12, 24

Explanation:

This is a recursive formula which allows the next term in a sequence to be found from the previous term in the sequence

Given


a_(n) = 2
a_(n-1) with a₁ = 3, then

a₂ = 2 × a₁ = 2 × 3 = 6

a₃ = 2 × a₂ = 2 × 6 = 12

a₄ = 2 × a₃ = 2 × 12 = 24

Thus the first 4 terms are 3, 6, 12, 24

User Relliv
by
8.3k points

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