Q. 6 D5.0( 1 Vote )

# The expressions for the sum to n terms of some arithmetic sequences are given below. Find the expression for the nth term of each:2n2 – n

Sn = 2n2 - n

an + 1 = Sn + 1 - Sn

= {2(n + 1)2-(n + 1)}- {2n2 - n}

= (2n2 + 4n + 2-n-1)-(2n2-n)

= 4n + 1

= 4(n + 1)-3

an = 4n-3

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