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MathsHardNumerical2022 ยท 26 Jul Shift 2

Q83.Different A.P.'s are constructed with the first term 100, the last term 199, And integral common differences. The sum of the common differences of all such, A.P's having at least 3 terms and at most 33 terms is.

What This Question Tests

This question involves applying the formula for the nth term of an AP, understanding the constraints on the number of terms and common difference, and summing the possible common differences.

Concepts Tested

nth term of an APProperties of APFactors and divisors

Formulas Used

a_n = a + (n-1)d

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