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The mean of cubes of the first n natural numbers is:

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Important Questions on Progression

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The nth term of an arithmetic series is p and the sum of first n terms is S. The first term is:
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In a geometric progression the sum of the first and the last term is 66 and the product of the second and the last but one term is 128. Determine the first term of the series?
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A man walks 2 km on the first day morning and subsequently every day he walks half of the distance walked on the previous morning. What can be maximum total distance walked by him in his life time?
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If the 10th term of the sequence p, p-q, p-2q, p-3q is 20 and its 20th term is 10, then its xth term is:
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The third term of a geometric progression is 2. The product of first 5 terms is:
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The series 1+3+9+27+ up to nth term is 364. The value of (n-1) is:
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If a, a-2, 3a forms an arithmetic progression, then 3a is equal to:
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If the 10th term of an AP is twice 4th term, and the 23rd term is 'k' times the 8th term, then the value of k is: