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Class 10 Mathematics Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APExpert

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Find the sum of all three-digit numbers that leave remainder (7) when divided by (13).

Answer and explanation

Correct answer: (38157)

The numbers are (111,124,\ldots,995), and their sum is (38157). A remainder-based AP has common difference equal to the divisor.

Related tags

Remainder Three Digit Ap Sum Finding The Sum Of The First $N$ Terms Of An Ap Finding The Sum Of The First N Terms Of An Ap Arithmetic Progressions (Ap)Arithmetic Progressions Ap Mathematics

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