2 + 5 + 8 + ... + (3n-1) = n (3n+1) /2
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Nth term = 3n-1
Now to find sum of n terms
Sum = summation tn
sum of n natural numbers = n(n+1)/2
Sum=summation tn
=3(n(n+1)/2 - n
=(3n²+3n-2n)/2
=3n²+n/2
=n(3n+1)/2
hence proved .
hope it helps.
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