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MathsMediumMCQ2014 ยท 19 Apr Online

Q65.The number of terms in an A. P. is even, the sum of the odd terms in it is 24 and that the even terms is 30. If the last term exceeds the first term by 10 12 , then the number of terms in the A. P. is (1) 4 (2) 8 (3) 16 (4) 12

What This Question Tests

The question involves setting up simultaneous equations using the sum of odd-positioned terms and even-positioned terms in an AP, along with the relation between the first and last terms, to find the number of terms.

Concepts Tested

Sum of terms in an APGeneral term of an APProperties of AP terms (odd/even positions)

Formulas Used

Sn = (n/2)(a + l)

Sn = (n/2)(2a + (n-1)d)

an = a + (n-1)d

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