If sum of n terms of an ap if sn = 3n^2 + 2n^2.the common difference of ap is
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Given
sum of.A.P Sn = 3n^3 + 2n^2
let ,Tn = 3n^3 + 2n^2 -----(1)
put" n" = 1, 2, 3.......in(1)
first term ,T1 = 3(1)^3 +2 (1)^2 = 5
T 1 = 5
now put "n = 2 ,we get
T 2 = 24 + 8 = 32
T 2 = 32
put ,n = 3 in (1)
T 3 = 81 + 18 = 99
common difference (d)
= (T 3 - T 2) - ( T 2 - T 1 )
= ( 99 - 32 ) - ( 32 - 5 )
= 67 - 27
= 40
hence, common difference of A.P (d )= 40
【hope it helps】
sum of.A.P Sn = 3n^3 + 2n^2
let ,Tn = 3n^3 + 2n^2 -----(1)
put" n" = 1, 2, 3.......in(1)
first term ,T1 = 3(1)^3 +2 (1)^2 = 5
T 1 = 5
now put "n = 2 ,we get
T 2 = 24 + 8 = 32
T 2 = 32
put ,n = 3 in (1)
T 3 = 81 + 18 = 99
common difference (d)
= (T 3 - T 2) - ( T 2 - T 1 )
= ( 99 - 32 ) - ( 32 - 5 )
= 67 - 27
= 40
hence, common difference of A.P (d )= 40
【hope it helps】
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