Let a1, a2,â€¦â€¦..a3n be an arithmetic progression with a1 = 3 and a2 = 7. If a1 + a2 + â€¦.+a3n = 1830, then what is the smallest positive integer m such that m (a1 + a2 + â€¦. + an ) > 1830?

A) 8

B) 9

C) 10

D) 11

Option (B)

From CAT 2017 – Quantitative Aptitude – Modern Maths – Progressions, we can see that,

a = 3

a + d = 7 => d=4

Applying formula of sum for AP

(3n/2) [6 + (3n-1)4] = 1830

On solving, we get n = 10

m>61/7

Max positive integer value of m = 9

Option (B)

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