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If the Sum of First P Terms of an A.P. is Equal to the Sum of the First Q Terms, Then Find the Sum of the First (P + Q) Terms. - CBSE (Arts) Class 11 - Mathematics

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Question

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

Solution

Let a and d be the first term and the common difference of the A.P. respectively.

Here,

Thus, the sum of the first (p + q) terms of the A.P. is 0.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 9: Sequences and Series
Q: 10 | Page no. 185

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Solution If the Sum of First P Terms of an A.P. is Equal to the Sum of the First Q Terms, Then Find the Sum of the First (P + Q) Terms. Concept: Arithmetic Progression (A.P.).
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