f(2) = 12
f(3) = 36
f(5) = 150
f(6) = 252
f(7) = 392
Find the value of f(4)
P.S. This is a number analogy problem.
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n^{2} x (n+1)
how to find this pattern by computer? (algorithm to solve this),this is not a maths question
(f(n) = (n + 1) n^2, so f(4) = 5 16 = 80. Ed Gray
2 2 × ( 2 + 1 ) = 1 2 3 3 × ( 3 + 1 ) = 3 6 4 4 × ( 4 + 1 ) = 8 0 5 5 × ( 5 + 1 ) = 1 5 0 6 6 × ( 6 + 1 ) = 3 6 × 7 = 2 5 2 7 7 × ( 7 + 1 ) = 4 9 × 8 = 3 7 2
2 X 6=12 3X12=36 4X20=80 5X30=150 6X42=252 7X56=392 We can see that there is a pattern with the nos. that are getting multiplied with the nos.(1,2,3,...) each time..that are (6,8,10,12,14) gettin' added with the previous multiplier...hope i'm correct..thanks.
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2 2 × ( 2 + 1 ) = 1 2
3 2 × ( 3 + 1 ) = 3 6
→ 4 2 × ( 4 + 1 ) = 8 0