Solve It.......2

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.

65 45 80 56 34 55 87 90

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4 solutions

2 2 × ( 2 + 1 ) = 12 2^2\times(2+1)=12

3 2 × ( 3 + 1 ) = 36 3^2\times(3+1)=36

4 2 × ( 4 + 1 ) = 80 \rightarrow 4^2\times(4+1)=80

n^{2} x (n+1)

Yashwanth Manivannan - 6 years, 1 month ago

how to find this pattern by computer? (algorithm to solve this),this is not a maths question

Aashirvad Raj - 4 years, 7 months ago
Edwin Gray
Jan 3, 2019

(f(n) = (n + 1) n^2, so f(4) = 5 16 = 80. Ed Gray

Zeeshan Ali
Feb 8, 2016

2 2 × ( 2 + 1 ) = 12 2^2 \times (2+1) = 12 3 3 × ( 3 + 1 ) = 36 3^3 \times (3+1) = 36 4 4 × ( 4 + 1 ) = 80 4^4 \times (4+1) = \boxed{80} 5 5 × ( 5 + 1 ) = 150 5^5 \times (5+1) = 150 6 6 × ( 6 + 1 ) = 36 × 7 = 252 6^6 \times (6+1) = 36 \times 7 = 252 7 7 × ( 7 + 1 ) = 49 × 8 = 372 7^7 \times (7+1) = 49 \times 8 = 372

Ranik Chakraborty
Mar 19, 2015

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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