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Question

In A.P., if 5 times 5th term =7 times 7th term. Find 12th term

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Solution

According to the question,

5a5=7a7

5[a+(51)d]=7[a+(71)d]

5(a+4d)=7(a+6d)

5a+20d=7a+42d

2a+22d=0

a+11d=0

a+(121)d=0

a12=0

Therefore, the 12th term is 0.


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