Complete the series

1, 3, 3, 6, 7, 9, ..., 12, 21.

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Solution

The correct option is D 13
Sequence is given is a combination of two series:
I. 1, 3, 7, ...21 and II. 3, 6, 9, 12.
The pattern in the series is +2, +4, +6, +8 . The missing number is -6.

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B - 3, D - 6, F - 9, H - 12, . . . .

1 + \frac{1}{3} + \frac{1 \cdot 3}{3 \cdot 6} + \frac{1 \cdot 3 \cdot 5}{3 \cdot 6 \cdot 9} + \frac{1 \cdot 3 \cdot 5 \cdot 7}{3 \cdot 6 \cdot 9 \cdot 12} + . . . . .

Find the sum of the series : 3 + 5 + 7 + 6 + 9 + 12 + 9 + 13 + 17 + .... to 3n terms.

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