1.

If Tn = 6n + 5, find Sn.

Answer»

Tn = 6n +5

=> a +(n-1)d = 6n +5

=> a +(n-1)d = 11 + 6n - 6

=> a +(n-1)d = 11+ 6(n-1)

Comparing both sides, we get

a= 11

d = 6

Sn = n/2 [ a + Tn]

= (n/2) ( 11+6n +5)

= (n/2) (6n +16)

= n(3n + 8)

= 3n^2 + 8n

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