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121. 13, 32, 24, 43, 35, ?, 46, 65, 57, 76

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Solution:
The given sequence is a combination of two series:
I. 13, 24, 35, 46, 57 and II. 32, 43, ?, 65, 76
The pattern in both I and II is + 11. So, missing term = 43 + 11 = 54.
122. 22, 24, 28, ?, 52, 84

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Solution:
The pattern is + 2, + 4, + 8, + 16,.....
So, missing term = 28 + 8 = 36.
123. 3, 15, ?, 63, 99, 143

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Solution:
The terms of the given series are (22 - 1), (42 - 1),....., (82 - 1), (102 - 1), (122 - 1).
So, missing term = (62 - 1) - (36 - 1) = 35.
124. 90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3

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Solution:
Clearly, 90 = 30 x 3, 180 = 6 x 30, 12 = 2 x 6, 50 = 25 x 2, 100 = 4 x 25, 200 = 50 x 4.
So, missing term = 3 x 50 = 150.
125. 48, 24, 96, 48, 192, ?

Discuss
Solution:
The pattern is ÷ 2, x 4, ÷ 2, x 4, .....
So, missing term = 192 ÷ 2 = 96.
126. 2, 15, 41, 80, ?

Discuss
Solution:
The pattern is + 13, + 26, + 39,.....
So, missing term = 80 + 52 = 132.
127. 6, 11, 21, 36, 56, ?

Discuss
Solution:
The pattern is + 5, + 10, + 15, + 20, ...
So, missing term = 56 + 25 = 81.
128. 563, 647, 479, 815, ?

Discuss
Solution:
The pattern is + 84, - 168, + 336,.....i.e. + 84, - (84 x 2), + (84 x 22), .....
So, missing term = 815 - (84 x 23) = 815 - 672 = 143.
129. 13, 35, 57, 79, 911, ?

Discuss
Solution:
The terms of the given series are numbers formed by joining together consecutive
odd numbers in order i.e. 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11, .....
So, missing term = number formed by joining 11 and 13 = 1113.
130. 1, 4, 10, 22, 46, ?

Discuss
Solution:
The pattern is + 3, + 6, + 12, + 24,.....
So, missing term = 46 + 48 = 94.

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