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If the sum of P terms of an AP is q and the sum of q terms is p, then sum of p+q terms will be ?

Posted by Sunidhi Singh 5 years, 4 months ago

CBSE > Class 10 > English Language and Literature

1 answers

Gaurav Seth 5 years, 4 months ago

is the sum of terms.

Given:

Sum of first p terms of an AP = q

Sum of first q terms = p

To find:

Sum of (p + q) terms = ?

Solution:

The sum of first p term of AP is q, which means that the number of terms is p

Thereby, let us take the first term as A and the common difference d

The sum of first q term of AP is p, which means that the number of terms is q

Thereby, let us take the first term as A and the common difference d

Therefore, the sum

Subtracting the sum of the term , p and q

After solving the equation we get the value of d as

Now with , first value of the series is a and the number of terms is

Therefore, the sum is

3.6

1Thank You

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