Question

If and term of an ap is 2 x + 1 then find the sum of first n terms of the AP

Answer 1

Step-by-step explanation:

an=(2n−1)

⇒  a1=2×1−1=1

⇒  a2=2×2−1

            =4−1

            =3

⇒  d=a1−a1=3−1

∴  d=2

⇒  S1=2n[2a1+(n−1)d]

           

            =2n[2(1)+(n−1)2]

            =2n[2+2n−2]

            =2n×2n

            =n2

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