Sequences and Series
Direction: What should come in place of the question mark in each of the following number series ?
 12, 15, 36, ?, 480, 2415, 14508

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Series pattern
12 x 1 + 3 x 1 = 15
15 x 2 + 3 x 2 = 36
36 x 3 + 3 x 3 = 117
Should come in place of ?
117 x 4 + 3 x 4 = 480Correct Option: C
Series pattern
12 x 1 + 3 x 1 = 15
15 x 2 + 3 x 2 = 36
36 x 3 + 3 x 3 = 117
Should come in place of ?
117 x 4 + 3 x 4 = 480
480 x 5 + 3 x 5 = 2415
2415 x 6 + 3 x 6 =14508
 1220, 244, ....., 9.76, 1.952, ?

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Series pattern
Previous number / 5Correct Option: A
Series pattern
Previous number/5
∴ Missing term = 244/5 = 48.8
 2, 15, 41, 80,132, ?

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Series pattern
+ 13, + 26, + 39, + 52, + 65Correct Option: A
Series pattern
+ 13, + 26, + 39, + 52, + 65
∴ Missing term = 132 + 65 = 197
 1, 9, 25, 49, 81, ?

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1^{2}, 3^{2}, 5^{2}, 7^{2}, 9^{2}, 11^{2}
Correct Option: A
Series pattern
1^{2}, 3^{2}, 5^{2}, 7^{2}, 9^{2}, 11^{2}
So missing term = 11^{2} = 121
 Find out the next term in the series 7, 11, 13, 17, 19, ...

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Given series is a consecutive prime number series.
Correct Option: B
Given series is a consecutive prime number series. Therefore, the next term will be 23.