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The sum of first five multiples of 3 is...

The sum of first five multiples of 3 is

A

45

B

55

C

65

D

75

Text Solution

Verified by Experts

The correct Answer is:
A
The first five multiples of 3 are 3, 6, 9, 12 and 15.
Here, first term, a = 3, common difference, d = 6 - 3 = 3 and number of terms, n = 5
` :. S_(5)=(5)/(2)[2a+ (5-1)d] " " [ :' S_(n)= (n)/(2){2a+(n-1)d}]`
` " " = (5)/(2)[2xx3+4xx3]`
` " " =(5)/(2)(6+12)=5xx9=45`
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