what's d error ?????

12 - 22 + 32 - 42 + 52 - 62 +... = ?

solution :

LHS = (1-2)(1+2) + (3-4)(3+4) + (5-6)(5+6) + ... = - (1+2+3+4+5+6+...)

= - n(n+1)/2 .... Ans...

but for odd values of n, the above expression is not correct .... lyk substitute n=1,3,5... we get d sum as positive no. whereas the expression gives negative no. !!!

what's d fallacy ???

3 Answers

9
Celestine preetham ·

ur grouping wrks only for even nos

for odd no there will be an unpaired sqr

1
The Race begins... ·

so dat cannot b concluded as an answer until n unless n is mentioned as an even no. rite !!!

1357
Manish Shankar ·

yes..

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