Question

if the middle term of an AP is 30 , then what is the sum of first 11 terms of AP??

pls answer it​

Answer 1

the sum of first 11 terms of AP is 11× 30 =330

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Answer 2

The middle term is the 6th term of the sequence.

6th term = a + 5d, where a = first term and d = common difference

Therefore

a + 5d = 30 ……………(1)

Sum for the eleven terms is given by:

S₁₁ = 11/2[ 2a + 10d] …….(2)

Multiply (1) by 2

2a + 10d = 60 ……………(3)

Substitute (3) into (2)

S₁₁ = 11/2[ 60]

= 330