Question

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

1, –5, 25, –125, ...
2, 10, 50, 250, ...
3, –2, –7, –12, ...
4, 9, 14, 19, ...

Answer 1

3,-2,-7,-12

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Answer 2

When you substitute n=1,2,3,.. in the formula, we get

f(2) = f(1) -5

f(3)=f(2) -5

f(4)=f(3) -5

and so on which shows that any term in the sequence is 5 less than its predecessor. So for the answer, you need to look for a sequence which is decreasing by 5.

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