Every number given in the series is following the pattern of operations + 1, + 2, + 3, + 3, + 2, + 1.

5 + 1 = 6 6 + 2 = 8 8 + 3 = 11 11 + 3 = 14 14 + 2 = 16 16 + 1 = 17 Similarly, 1 should be added to 17 in order to follow the pattern of operations + 1, + 2, + 3, + 3, + 2, + 1. So, 17 + 1 = 18

The pattern followed in the given series is

10 + (0 + 1) = 11 11 + (1 + 1) = 13 13 + (1 + 3) = 17 17 + (1 + 7) = 25 25 + (2 + 5) = 32 Similarly, 32 + (3 + 2) = 37

As seen in the question, every number is following the pattern of operations + 1, + 2, + 1, + 2 ....

10 + 1 = 11 11 + 2 = 13 13 + 1 = 14 14 + 2 = 16 16 + 1 = 17 17 + 2 = 19 Similarly, 19 + 1 = 20

As it is clear from the given series, every term is either squared or added to 1 to get the next term.

2² = 4 4 + 1 = 5 5² = 25 25 + 1 = 26 Similarly, 26² = 676

Here, every term is obtained by following the operations of * 2 + 1, * 3 + 2, * 4 + 3 and so on with preceding terms.

1 * 2 + 1 = 3 3 * 3 + 2 = 11 11 * 4 + 3 = 47 Similarly, 47 * 5 + 4 = 239

As it is clear from the given series, every term is added with the numbers 6, 5, 4, 3, 2 .... sequentially (added numbers are in decreasing order starting from 6).

7 + 6 = 13 13 + 5 = 18 18 + 4 = 22 22 + 3 = 25 Similarly, 27 + 1 = 28

The series in the question is following the pattern of operations * 2, + 1, * 2, + 1....

1 * 2 = 2 2 + 1 = 3 3 * 2 = 6 6 + 1 = 7 7 * 2 = 14 14 + 1 = 15 15 * 2 = 30 Similarly, 30 + 1 = 31

As it is clear from the series, every term is operated by either + 5 or * 5 + 1.

1 + 5 = 6 6 * 5 + 1 = 31 31 + 5 = 36 Similarly, 36 * 5 + 1 = 181

As it is clear from the series, each term is multiplied by a certain number like 2, 3, 4, ... in increasing order to get the next term.

1 * 2 = 2 2 * 3 = 6 6 * 4 = 24 24 * 5 = 120 120 * 6 = 720 In the same way, 720 * 7 = 5040

The pattern followed in the series is    1 + 1 = 2 2 * 2 = 4  4 + 3 = 7  7 * 4 = 28   28 + 5 = 33  33 * 6 = 198   Similarly, 198 + 7 = 205

As it is clear from the series, every number in the series is multiplied by a prime number like 2, 3, 7....

1 * 2 = 2 2 * 3 = 6 6 * 5 = 30 30 * 7 = 210  Similarly, 210 * 11 = 2310 (11 being the next prime number after 7)

As it is clear from the series, every term is either added to 3 or multiplied by 3 to get the next term.

1 + 3 =4 4 * 3 = 12 12 + 3 = 15 15 * 3 = 45 45 + 3 = 48 Similarly, 48 * 3 = 144

As it is clear from the series, every term of the series is added to the increasing powers of 2 to get the next term.

1 + 2¹ = 3 3 + 2² = 7 7 + 2³ = 15 15 + 2⁴ = 31 31 + 2⁵ = 63 Similarly, 63 + 2⁶ = 127

Every alternate term in the series is multiplied by 2 to get the next term.

Even placed terms = 1, 2, 4 ... 1 * 2 = 2 2 * 2 = 4.... Even placed terms = 3, 6, ? 3 * 2 = 6 Similarly, 6 * 2 = 12