The number of terms of an A.P. is even; the sum of all the odd terms is \(24\) , the sum of all the even terms is \(30\) and the last term exceeds the first by \(\frac{21}{2}\). Then the number of terms which are integers in the A.P. is :

[JEE Main 2025, 2 Apr (Shift 2)]

Question

The number of terms of an A.P. is even; the sum of all the odd terms is \(24\) , the sum of all the even terms is \(30\) and the last term exceeds the first by \(\frac{21}{2}\). Then the number of terms which are integers in the A.P. is :

[JEE Main 2025, 2 Apr (Shift 2)]

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The number of terms of an A.P. is even; the sum of all the odd terms is \(24\) , the sum of all the even terms is \(30\)…

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