Which recursive formula can be used to generate the sequence shown, where f (1) = 5 and n > 1?

5,-1, - 7, - 13, - 19, ...

Question

Mathematics

Declan Allison

9 March, 09:51

Which recursive formula can be used to generate the sequence shown, where f (1) = 5 and n > 1?

5,-1, - 7, - 13, - 19, ...

+2

Answers (1)

Know the Answer?

Autumn Evans · Answer 1

The sequence of numbers decrease by 6 each time, so we can write:

f (1) = 5

f (2) = - 1

f (3) = - 7

f (1) - f (2) = 6

or:

f (2) = f (1) - 6

which means:

f (n + 1) = f (n) - 6

Which recursive formula can be used to generate the sequence shown, where f (1) = 5 and n > 1?5,-1, - 7, - 13, - 19, ...

Which recursive formula can be used to generate the sequence shown, where f (1) = 5 and n > 1?

5,-1, - 7, - 13, - 19, ...