Question

Explain using algebra, the method to compute the square of the sum of a natural number and.5​

Answer 1

Answer:

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Step-by-step explanation:

General formula

Sn=n(2n+1)(n+1)/6

Take example:

1^2+2^2+3^2+4^2=?

n=4

Put n=4 in formula

Sn= 4(2×4+1)(4+1)÷6=30

Similarly 1+2+3+……..

Sn=n(n+1)÷2

Similarly 1^3+2^3+3^3+4^4……

Sn=((n(n+1)÷2))^2