Asequence is defined recursively using the equation f(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

If the sequence f is defined as



then



As you can see above, the difference between two consecutive terms gives us a constant.

So f is actually an arithmetic progression (AP), and it has (– 8) as its common difference:



•   If f(1) = 100, then



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I hope this helps. :-)

6(2x + 5y)6 (2x) = 12x6 (5y) = 30y12x + 30y