Question

if the first term of the ap is 2 and the last term is 100 then it's sum isn​

Answer 1

sum of n terms of given AP is 51n

given, the first term of the ap, a = 2

the last term, Tn = 100

using formula, Tn = a + (n - 1)d

⇒100 = 2 + (n - 1)d

⇒98 = (n - 1)d .............(1)

now sum of n terms, Sn = n/2[2a + (n - 1)d ]

= n/2[ 2 × 2 + 98]

= n/2[ 102 ]

= 51n

hence sum of n terms of given AP is 51n

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