If f (1) = 7 and f (n) = 4 f (n - 1) then find the value of f (5)
1 answer:
Answer:
1792
Step-by-step explanation:
given,
f (n) = 4 f (n - 1)
here,
f(2) = 4 f ( 2-1)
= 4 f ( 1 )
= 4. 7
= 28
then,
f(3) = 4 f ( 3-1)
= 4 f ( 2)
= 4. 28
= 112
again,
f (4) = 4 f ( 4-1)
= 4 f ( 3)
= 4.112
=448
at last,
f ( 5) = 4 f ( 5-1)
= 4 f ( 4)
= 4. 448
= 1792
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