Math, asked by najilanasar019, 6 months ago

write the sequence of the squares of all
odd numbers. what is its algebra?​

Answers

Answered by maheshvangari46
0

Answer:

ur questions is very nice

Step-by-step explanation:

i will take some time to write the answers of ur questions

Answered by bhoomiyadav626
2

OddSum = (Sum of Squares of all 2n numbers)

- (Sum of squares of first n even numbers)

= 2n*(2n+1)*(2*2n + 1)/6 - 2n(n+1)(2n+1)/3

= 2n(2n+1)/6 [4n+1 - 2(n+1)] = n(2n+1)/3 * (2n-1)

= n(2n+1)(2n-1)/3

Example:

Sum of squares of first 3 odd numbers = n(2n+1)(2n-1)/3 = 3(2*3+1)(2*3-1)/3 = 35 12 + 32 + 52 = 1 + 9 + 25 = 35

hope this will help u

Similar questions