Question

please tell me the program of---- Find the sum of the series__ 1+4+9+16+...........+100.

Answer 1

by adding odd number like 1+3=4, 4+5=9, 9+7=16, 16+9=25,.........

Answer 2

Answer:

385

Step-by-step explanation:

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TO REMEMBER...

$1 + 4 + 9 + 16 +... + n^2 \\ \\1^2 + 2^2 + 3^2 + 4^2...+n^2 \\ \\ \frac{n(n+1)(2n+1)}{6}$

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According to this,

$1+4+9+16+...+100 \\ \\ 1^2+2^2+3^2+4^2+...+10^2 \\ \\ \frac{10(10+1)(2\times 10+1)}{6} \\ \\ \frac{10\times 11\times 21}{6} \\ \\ 5\times 11\times 7=\bold{385}$

∴ 385 is the answer.

Thank you. Have a nice day. :-)

#adithyasajeevan