Maths / Arithmetic Progression / Sum of First n Terms

QUESTION

Find the sum of all 3 - digit numbers that leave remainder 3 when divided by 5.

EXPLANATION
Explain TypeExplanation Content
Text

103, 108, ..... 998

a + (n - 1) d = 998

$\dpi{100} \Rightarrow$ 103 + (n - 1)5=998

$\dpi{100} \Rightarrow$ n = 180

$\dpi{100} S_1_8_0=$ $\dpi{100} \frac{180}{2}103+998$

= 90 X 1101

$\dpi{100} S_1_8_0$ =

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