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lizziedav02
lizziedav02 lizziedav02
  • 09-05-2016
  • Mathematics
Answered

A sequence is defined recursively by: f (1) = 4; f (n) = f (n-1) + 3n. Find f (5).


[1] 16 [2] 24 [3] 33 [4] 46

Verified Answer :

Neuron
Neuron Neuron
  • 17-05-2016

If you would like to find f(5), you can calculate this using the following steps:

f(1) = 4
f(n) = f(n-1) + 3 n
f(2) = f(2-1) + 3
2 = f(1) + 6 = 4 + 6 = 10
f(3) = f(3-1) + 3 3 = f(2) + 9 = 10 + 9 = 19
f(4) = f(4-1) + 3
4 = f(3) + 12 = 19 + 12 = 31
f(5) = f(5-1) + 3 * 5 = f(4) + 15 = 31 + 15 = 46

The correct result would be [4] 46.

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