An algebra problem by A Former Brilliant Member

Algebra Level 2

Find the sum of all numbers from 1 to 100000 that are divisible by 124.

Try some of my problems: Math Problems - Set 1

The answer is 40327404.

1 solution

A Former Brilliant Member
Dec 22, 2016

The series of numbers forms an Arithmetic Progression with $a_1=124$ , $a_2=248$ , and so on. To find the number of terms, we need to divide 100000 by 124 and it is 806.45. We consider only the whole number, so $n=806$ . The last term is $(806)(124)=99944$

$S=$ $\frac{n}{2}(a_1+a_n)$

$S=$ $\frac{806}{2}(124+99944)=40327404$

This is a very good question.

A Former Brilliant Member - 3 years, 7 months ago

An algebra problem by A Former Brilliant Member

Try some of my problems: Math Problems - Set 1

The answer is 40327404.

1 solution

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