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Luba_88 [7]
2 years ago
10

If f(1) = 7 and f(n) = -3f(n − 1) then find the value of f(6).

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
8 0

Answer:

  -1701

Step-by-step explanation:

The recursion relation tells you each term of the sequence is -3 times the previous term. Then the first 6 terms are ...

  7, -21, 63, -189, 567, -1701

The value of f(6) is -1701.

_____

<em>Additional comment</em>

The explicit formula for a geometric sequence with first term 7 and common ratio -3 is ...

  f(n) = 7×(-3)^(n-1)

Then f(6) is ...

  f(6) = 7×(-3)^5 = 7×(-243) = -1701

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