Find the first terms of this sequence: f(1)=-2, f(n)=f(n-1)+4

Pellagra3d 2022-10-15 Answered
Find the first terms of this sequence: f(1)=-2, f(n)=f(n-1)+4
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Answers (1)

Annabella Ferguson
Answered 2022-10-16 Author has 15 answers
Let the place count be n
Let the n th term be a n

Given f(n=1)=−2

We are also told that any one term is the previous term + 4.
This is derived from f(n)=f(n−1)+4 where f(n−1) is the previous term.

Consequently we have an Arithmetic sequence with common difference of +4

From this the sequence is:

n = 1 a 1 = - 2 given value

n = 2 a 2 = - 2 + 4 = 2
n = 3 a 3 = - 2 + 4 + 4 = 6
n = 4 a 4 = - 2 + 4 + 4 + 4 = 10

And so on. Also from this we also have an alternative equation for any a n in that we have:

a n = - 2 + 4 ( n - 1 )
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