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Find the number of \(6\)-term strictly increasing geometric progressions, such that all terms are positive integers less than \(1000.\)

Find All Triplets Of Integers In Arithmetic Progression The Sum Of Whose Squares Is 1994 .

Give Your Answer As Number Of Possible Triplets Of Integers

Please Note That The Triplet ...

In an arithmetic progression, the sum of the first 1001 terms is equal to 29, and the sum of the first 29 terms is equal to 1001.

Find the sum ...

If \(x\), \(y\), \(z\) and \(v\) are 4 integers in an arithmetic progression and

\[1000 ^ {\log (x)} + 1000 ^ {\log (y)} + 1000 ^ {\log (z)} = 1000 ^ {\log (v)}. \]

Find the minimum possible ...

Mr.Calvin takes out an even number from the set \(\{1, 2, 3,\ldots, 25\}\).

Suppose that the remaining set has precisely 124 subsets with three elements that form an ...

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