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Fundamental Principle of Counting

The sum of th...

Question

The sum of the first 20 terms common between the series 3 + 7 + 11 + 15 + . . . and 1 + 6 + 11 + 16 + . . is

A

4000

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B

4220

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C

4020

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D

4200

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Solution

The correct option is C 4020
First term = 11, common difference = Lcm(4, 5) = 20
$∴ S_{20} = \frac{20}{2} [22 + 19 \times 20] = 10 (402) = 4020$

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