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If 10 times the 10th term of an AP is equal to 15 times the 15th term, show that its 25th term is zero.

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If 10 times the 10th term of an AP is equal to 15 times the 15th term, show that its 25th term is zero. 

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Let a be the first term and d be the common difference of the AP. Then,

Hence, the 25th term of the AP is 0.

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