3n^2+6n find the sum of the first 15 terms in this case
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nth term=3n²+6n
so 1st term will be=t1=3(1²)+6*1=9
so the second term will be=t2=3(2²)+6*2=24
d=t2-t1
d=24-9=15
so sum of first 15 terms=n/2(2t1+(n-1)d)
s₁₅=15/2(2*9+(15-1)15)
s₁₅=15/2(18+210)
s₁₅=15/2(228)
s₁₅=15*114
s₁₅=1710
thus, the sum of first 15 terms of the given A.P is=1710
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