Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. Which formula could represent her sequence? a f (n + 1) = f (n) + 5 b f (n + 1) = f (n + 5) c f (n + 1) = 5f (n) d f (n + 1) = f (5n)

Question

Mathematics

Delilah Wilcox

15 July, 19:56

Shaunta is developing a recursive formula to represent an arithmetic sequence in which 5 is added to each term to determine each successive term. Which formula could represent her sequence? a f (n + 1) = f (n) + 5 b f (n + 1) = f (n + 5) c f (n + 1) = 5f (n) d f (n + 1) = f (5n)

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Answers (1)

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Jensen Baxter · Answer 1

So lets say

f (1) = 5

f (2) = 10

1+1=2 so

f (2) = f (1+1)

therefor

f (n+1) = f (n) + 5 since the difference of the functions is 5

the answer is A f (n+1) = f (n) + 5