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141. 2, 3 ,8 , 27, 112, ?

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Solution:
The pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4,.....
So, missing term = 112 x 5 + 5 = 565.
142. 6, 17, 39, 72, ?

Discuss
Solution:
The pattern is + 11, + 22, + 33, .....
So, missing term = 72 + 44 = 116.
143. 20, 20, 19, 16, 17, 13, 14, 11, ?, ?

Discuss
Solution:
Let the missing terms of the series be x1 and x2.
Thus, the sequence 20, 20, 19, 16, 17, 13, 14, 11, xv x2 is a combination of two series :
I. 20, 19, 17, 14, x1 and II. 20, 16, 13, 11, x2
The pattern in I is - 1, - 2, - 3,......So, missing term, x1 = 14 - 4 = 10.
The pattern in II is - 4, - 3, - 2,......So, missing term, x2 = 11 - 1 = 10.
144. 24, 60, 120, 210, ?

Discuss
Solution:
The pattern is + 36, + 60, + 90,.....i.e. + [6 x (6 + 0)], + [6 x (6 + 4)], + [6 x (6 + 9)],...
So, missing term = 210 + [6 x (6 + 15)] = 210 + 126 = 336.
145. 625, 5, 125, 25, 25, ?, 5

Discuss
Solution:
The given sequence is a combination of two series :
I. 625, 125, 25, 5 and II. 5, 25, ?
The pattern in I is ÷ 5, while that in II is x 5. So, missing term = 25 x 5 = 125.
146. 10, 100, 200, 310, ?

Discuss
Solution:
The pattern is + 90 + 100, + 110,.....
So, missing term = 310 + 120 = 430.
147. 11, 10, ?, 100, 1001, 1000, 10001

Discuss
Solution:
The pattern is - 1, x 10 + 1, - 1, x 10 + 1, - 1, x 10 + 1, .....
So, missing term = 10 x 10 + 1 = 101.
148. 2, 7, 27, 107, 427, ?

Discuss
Solution:
The pattern is + 5, + 20, + 80, + 320, ...... i.e. + (5 x 12), + (5 x 22), + (5 x 42), + (5 x 82),.....
So, missing term = 427 + (5 x 162) = 427 + 1280 = 1707.
149. 10, 100, 200, 310, ?

Discuss
Solution:
The pattern is + 90 + 100, + 110,.....
So, missing term = 310 + 120 = 430.
150. 1, 1, 2, 6, 24, ?, 720

Discuss
Solution:
The pattern is x 1, x 2, x 3, x 4,.....
So, missing term = 24 x 5 = 120.

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