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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 ? |
Answer» \xa0is the sum of\xa0\xa0terms.Given:Sum of first p terms of an AP = qSum of first q terms = pTo 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 pThereby, let us take the first term as A and the common difference dThe sum of first q term of AP is p, which means that the number of terms is qThereby, let us take the first term as A and the common difference dTherefore, the sum\xa0Subtracting the sum of the term , p and qAfter solving the equation we get the value of d as Now with\xa0, first value of the series is a and the number of terms is\xa0Therefore, the sum is\xa03.6 | |