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Algebra

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31

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+608

Find the sum of all positive integers less than 1000 ending in 3 or 4 or 5.

onyuIee Jul 24, 2024

Best Answer

+1950

+1

First, let's note that
$3 + 4 + 5 = 3 *4$

$13 + 14 + 15 = 3 * 14$

This pattern will keep going. Thus, we just have

$3 [ 4 + 14 + 24 + ....... + 994 ]$

No. of terms = 100

Thus, our final answer is

$3 [ 994 + 4 ] [ 100 / 2 ] = 149,700$

Thanks! :)

NotThatSmart Jul 24, 2024

edited by NotThatSmart Jul 24, 2024

1⁺⁰ Answers

+1950

+1

Best Answer

First, let's note that
$3 + 4 + 5 = 3 *4$

$13 + 14 + 15 = 3 * 14$

This pattern will keep going. Thus, we just have

$3 [ 4 + 14 + 24 + ....... + 994 ]$

No. of terms = 100

Thus, our final answer is

$3 [ 994 + 4 ] [ 100 / 2 ] = 149,700$

Thanks! :)

NotThatSmart Jul 24, 2024

edited by NotThatSmart Jul 24, 2024

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