Question

The sum of the first 51 terms of the arithmetic progression whose 26th term is 300 is

Answer 1

Answer:

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Answer 2

Concept:

Arithmetic progression: It is the sequence in which there is a common difference.

Common difference means the difference between the two terms are same.

"a" is the first term and "n" is the number of terms in the sequence.

Given:

We are given that the the 26th term of the arithmetic progression is 300.

Find:

We need to find the sum of the first 51 terms.

Solution:

We have

26th term is 300

a₂₆=300

a+25d=300

We need to find the sum of the first 51 terms:

S₅₁=51/2(2a+50d)

S₅₁=51(a+25d)

S₅₁=51(300)

S₅₁=15,300

Therefore, the sum of the first 51 terms of the arithmetic progression is 15,300.

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