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If f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)

User Bactisme
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1 Answer

18 votes
18 votes

Answer:

-972

Explanation:

if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)

If f(1)= 4

f(2) = -3f(2-1)

f(2) = -3f(1)

f(2) = -3(4)

f(2) = -12

f(3) = -3f(3-1)

f(3) = -3f(2)

f(3) = -3(-12)

f(3) = 36

f(4) = -3f(4-1)

f(4) = -3f(3)

f(4) = -3(36)

f(4) = -108

f(5) = -3f(5-1)

f(5) = -3f(4)

f(5) = -3(-108)

f(5) = 324

f(6) = -3f(6-1)

f(6) = -3f(5)

f(6) = -3(324)

f(6) = -972

hence the sixth term of the sequence is -972

User Jpsasi
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