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sertanlavr [38]
3 years ago
5

Given the recursive formula: a1=3 An=2(an-1+1) Find a2 a3 a4

Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

a_2 = 8

a_3 = 18

a_4 = 38

Step-by-step explanation:

We are given the following recursive formula:

a_n = 2(a_{n-1}+1)

And consider a_1 = 3

a2

a_2 = 2(a_1 + 1) = 2(3 + 1) = 8

a3

a_3 = 2(a_2 + 1) = 2(8 + 1) = 18

a4

a_4 = 2(a_3 + 1) = 2(18 + 1) = 38

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Therefore our final answer is A-\frac{3}{a}+\frac{1}{a^2}-8a+15

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