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If (9802 + 9803 + 9804 + .... + 9999 + 10000 = A^3 + (A+1)^3) then what is the value of A?

0 votes
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If
1 = 0^3 + 1^3
2 + 3 + 4 = 1^3 + 2^3
5+6+7+8+9 = 2^3 + 3^3
10 + 11 + 12 + 13 + 14 + 15 + 16 = 3^3 + 4^3
similarly
9802 + 9803 + 9804 + .... + 9999 + 10000 = A^3 + (A+1)^3

then
What is the value of A

posted Jul 19, 2015 by anonymous

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1 Solution

+2 votes
 
Best answer

one term on left, 0 and 1 on right
three terms on left 1 and 2 on right
5 terms on left, 2 and 3 on right
7 terms on left, 3 and 4 on right
the relation between 0,1,2,3 and 1,3,5,7 is right=left*2+1
since the terms on left of question are 199 therefore
A looks 99

or simply just like 3 and 4 make 7 terms
99 and hundred make 199 terms

solution Jul 21, 2015 by Kewal Panesar



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