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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. - Mathematics

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प्रश्न

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.

उत्तर

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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पाठ 9: Sequences and Series - Exercise 9.2 [पृष्ठ १८५]

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एनसीईआरटी Mathematics [English] Class 11
पाठ 9 Sequences and Series
Exercise 9.2 | Q 10 | पृष्ठ १८५

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