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The sum of three numbers in AP is 12 and sum of their cubes is 408. Find the product of the numbers:

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Important Questions on Sequence, Series & Progressions

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The series of natural numbers is written as follows :

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Find the sum of the numbers in the nth row :

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The ratio of the 7th to the 3rd terms of an AP is 12: 5, find the ratio of the 13th to 4th term :
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Find the sum of the first hundred even natural numbers divisible by 5?
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If m times the mth term of an AP is equal to n times its nth term, find (m+n)th term of the AP :
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The sum of the first fifteen terms of an AP is 105 and the sum of the next fifteen terms is 780. Find the common difference of AP :
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If the first term of an AP is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, then find the 20th term?
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The sum of the first six terms of an AP is 42. The ratio of the 10th term to the 30th term of AP is 13. Find the 40th term of the AP:
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The sum of three numbers in AP is 15 and sum of their squares is 93. Find the greatest number: