Question

2 28 252 1008 3150 7740 ?

Answer 1

Hi ,

Series which is given 2 , 28 , 252 ,

1008 , 3150 , 7740 , ?

Let us construct a pattern :
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i ) 1^5 + 1^2 = 1 + 1 = 2

ii ) 2^5 - 2 ^2 = 32 - 4 = 28

iii ) 3^5 + 3^2 = 243 + 9 = 252

iv ) 4^5 - 4^2 = 1024 - 16 = 1008

v ) 5^5 + 5^2 = 3125 + 25 = 3150

vi ) 6^5 - 6^2 = 7786 - 36 = 7740

vii ) 7^5 + 7^2 = 16807 + 49 = 16856

Therefore Required number is 16856

You can use this method also:

i ) 1^3 × 1^2 + 1 = 1 + 1 = 2

ii ) 2^3 × 2^2 - 2^2 = 32 - 4 =28

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vii ) 7^3 × 7^2 + 7^2 = 16807 + 49 =

16856


I hope this will useful to you.***