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Question

If 8 times the 8th term of an AP is equal to 15 times the 15th term of that AP, then 23rd term of the same AP is


A

144

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B

1

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C

0

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D

12

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Solution

The correct option is C

0


Given,
8a8=15a15
8[a + (8 - 1)d] = 15[a + (15 - 1)d]
8(a + 7d) = 15 (a + 14d)
8a + 56d = 15a + 210d
-7a - 154d = 0
7a + 154d = 0
a + 22d = 0
a + (23 - 1)d = 0

a23=0


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