Question

Find the sum of the first 50 common terms of 12,16,20,... And 18,24,30,....1) 159002) 127003) 199904) 18400

Answer 1

A₁ = 12, 16, 20, 24,...

A₂ = 18, 24, 30, 36...

Taking LCM of the diferences of A₁ & A₂

LCM = 12

First common term between them is 24

a = 24

d = 12

n = 50

Sⁿ = n/2 {2a + ( n - 1 ) d}

Sⁿ = 15900

Hence answer is (1)

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