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Find the first 5 terms of the sequence A(n)=n+A(n-1) a1 = 3
Question
Find the first 5 terms of the sequence
A(n)=n+A(n-1) a1 = 3
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Mathematics
7 months
2021-07-21T01:52:23+00:00
2021-07-21T01:52:23+00:00 1 Answers
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Answer:
A(1) = 3, A(2) = 5, A(3) = 8, A(4) = 12, A(5) = 17
Step-by-step explanation:
Given A(n) = n + A(n–1) a1 = 3.
A(1) = 3.
A(2) = (2) + A(2–1)
= (2) + A(1)
= (2) + (3) = 5
A(3) = (3) + A(3-1)
= (3) + A(2)
= (3) + (5) = 8
A(4) = (4) + A(4–1)
= (4) + A(3)
= (4) + (8) = 12
A(5) = (5) + A(5–1)
= (5) + A(4)
= (5) + (12) = 17