Question

The sum 'S' of the first 'n' natural numbers is given by S =
$\frac{n(n + 1)}{2}$
Find 'n', if the
sum(S) is 276.​

Answer 1

Answer: n= 23

Step-by-step explanation: sum = n[n+1]/2

sum=276

therefore 276=n[n+1]/2

solving the above equation we get

552=n^2+n

hence n^2+n-552=0

n can be written as -23n + 24n

n^2-23n+24n-552=0

n[n-23] 24[n-23]

n+24, n-23 = 0

now n = -24 and 23

since n cant be negative

therefore n = 23

hope it helps

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