Find the first four terms given a_1=5; a_n=2a_(n−1)+4

iescabroussexg

iescabroussexg

Answered question

2022-09-08

Find the first four terms given a1=5; an=2an−1+4

Answer & Explanation

William Collins

William Collins

Beginner2022-09-09Added 12 answers

{ a 1 = 5 a n = 2 a n - 1 + 4
This formulation describes the sequence a 1 , a 2 , a 3 , ... recursively.
We find:
a 1 = 5
a 2 = 2 a 1 + 4 = 2 ( 5 ) + 4 = 14
a 3 = 2 a 2 + 4 = 2 ( 14 ) + 4 = 32
a 4 = 2 a 3 + 4 = 2 ( 32 ) + 4 = 68

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