Question

a =3 d=101 Then For A.P Sn

Answer 1

Sₙ = 101n²/2 - 95n/2 if a =3 d=101 Then For A.P Sn

Step-by-step explanation:

nth term = a + (n-1)d

Sum of n terms  = (n/2)(First Term + Last term)

=> Sum of n terms  =(n/2)(a  + a + (n-1)d)

a = 3

d = 102

=> Sum of n terms  =(n/2)( 3 + 3 + (n-1)101)

=> Sum of n terms  = (n/2)(6+ (n-1)101)

=> Sum of n terms  = (n/2)(101n - 95)

=> Sum of n terms  = 101n²/2 - 95n/2

=> Sum of n terms  = (101n² - 95n)/2

=> Sₙ = 101n²/2 - 95n/2

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