Math, asked by priyadharshini80, 10 months ago

find the sum 1 square + 2 square + 3 square +.......+23 square​

Answers

Answered by BKGGSS
3

Answer:

5244

Step-by-step explanation:

Hello!!

Here is your answer

Sum of squares of n natural numbers is

 \frac{n(n + 1)(2n + 1)}{6}

applying this

n = 23

 \frac{23(23 + 1)(56 + 1)}{6}  = 4 \times 23 \times 57

= 92*57

= 644+4600 = 5244

Answered by Johnsonmijo
0

Answer:

The sum of 1 Square + 2 Square + 3 Square , etc, 23 Square is 4324

Step-by-step explanation:

Sum of squares of n natural numbers is

Sn=\frac{n(n+1)(2n+1)}{6}

Here, n= 23

So,

S 23 = \frac{23*(23+1)([2*23]+1)}{6}

=\frac{23*24*(46+1)}{6}

=\frac{23*24*(46+1)}{6}

=\frac{552*47}{6}

=\frac{25944}{6}

=4324

So, the sum of first 23 natural numbers is 4324

Similar questions