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Question

The sum of all terms of the arithmetic progression having ten terms except for the first term is 99, and except for the sixth term, 89. Find the third term of the progression if the sum of the first and the fifth term is equal to 10?


A

15

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B

5

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C

8

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D

10

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Solution

The correct option is B

5


Sum of the first term and the fifth term = 10
or a + a + 4d = 10
or a+2d = 5


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