Question

2) The sum of the natural numbers from 1 to n is 36. Find the value
of n.​

Answer 1

Step-by-step explanation:

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Answer 2

sn=n/2{2a+(n-1)d}

now-

natural no.s start from 1

a=1;d=1;sn=36;n=?

36=n/2{2×1+(n-1)1}

36×2=n{2+n-1}

72=n{n+1}

72=n^2+n

n^2+n-72=0

By quadratic formula

a=1;b=1;c=(-72)

d=b^2-4ac

d=1+288

d=289

x=-b+*√d÷2a;-b-√d÷2a

x=-1+17/2;1-17/2

x=18/2;-16/2

x=9,-8(neglecting)

so,x=9