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

Rightarrow 103 + (n - 1)5=998

Rightarrow n = 180

S_1_8_0= frac{180}{2}103+998

= 90 X 1101

S_1_8_0 =

 

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