Answer :

The arithmetic progression is given.

Here first term is 7 and common difference is

Last term l = 84

Let no. of terms be n.

Since, a_{n} = a + (n - 1)d

Where,

a = First term of AP

d = Common difference of AP

and no of terms is ‘n’

⇒

⇒

⇒ 22 = n – 1

⇒ n = 23

Since the sum of n terms is

S_{n =} _{}So sum of 23 terms S_{23}

]

= 11.5 [14 + 22 × 3.5]

= 11.5[ 14 + 77]

= 11.5 × (91)

= 1046.5

Hence, Sum is 1046.5 = .

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