if the nth term of the AP is (2n+1).find Sn.
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Answer:
Tn = 2n+1
T1 = 2(1)+1 = 3
T2 = 2(2)+1 =5
D = T2 - T1
= 5 - 3
= 2
Sn = n/2 [2a+(n-1)d]
= n/2 [6 + (n-1)2]
= n/2 (6 + 2n - 2)
= n/2 (4+2n)
= n (2+n)
= 2n+n²
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