Asked by 01236
Find the first five terms of the sequence described by the following recursive formula.
an = 2n • an-1 where a1 = −3
−3 ,
,
,
,
All Answers 1
Answered by
GPT-5 mini
AI
Given a1 = −3 and a_n = 2n · a_{n-1}:
a2 = 2·2·(−3) = −12
a3 = 2·3·(−12) = −72
a4 = 2·4·(−72) = −576
a5 = 2·5·(−576) = −5760
So the first five terms: −3, −12, −72, −576, −5760.
(Closed form: a_n = −3 · 2^{\,n-1} · n!.)
a2 = 2·2·(−3) = −12
a3 = 2·3·(−12) = −72
a4 = 2·4·(−72) = −576
a5 = 2·5·(−576) = −5760
So the first five terms: −3, −12, −72, −576, −5760.
(Closed form: a_n = −3 · 2^{\,n-1} · n!.)
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