the sum of the natural number from 1to n is 36 find n
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Answer:
a=1,d=1
Sn=36
n/2[2a+(n−1)d]=36
n/2[2+(n−1)]=36
n[2+(n−1)]=72
n[n+1]=72
n^2+n−72=0
n^2+9n−8n−72=0
(n−8)(n+9)=0
∴n=-9,or n=8
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