Q1.
1,4,27,16,125,36 ________ .
(a) 343 (b) 20 (c) 109 (d) 100
Solution.
(a) 343
(1)3, (2)2, (3)3, (4)2 and so on
Solution
Q2.
2,4,16,256, __________ .
(a) 6080 (b) 41,509 (c) 98,216 (d) 65,536
Solution.
(d) 65,536
(2)2 = 4 , (4)2 = 16 , (16)2 = 256 and so on
Solution
Q3.
0, 2, 6, 14, 30 ________ .
(a) 10 (b) 18 (c) 36 (d) 62
Solution.
(d) 62
21 - 2 = 0 , 22 - 2 = 2 , 23 - 2 = 6 and so on .
Solution
Q4.
1, 4, 10, 22, 46 ______.
(a) 3 (b) 6 (c) 94 (d) 64
Solution.
(c) 94
The difference of successive numbers is 3, 6, 12, 24 .
Solution
Q5.
4, -8, 16, -32, 64 _______ .
(a) 46 (b) 128 (c) 92 (d) 108
Solution.
(b) 128
term multiplied by -2 .
Solution
Q6.
2, 10, 18, 5, ___, 80
(a) 40 (b) 20 (c) 10 (d) 16
Solution.
(b) 20
2, 10, 18 are in A.P.
5, 20, 80 are in G.P
Solution
Q7.
1, 5, 14, 30 _________.
(a) 35 (b) 55 (c) 45 (d) 40
Solution.
(b) 55
12 = 1, 12 + 22 = 5, 12 + 22 + 32 = 14, and
so on.
Solution
Q8.
2, 5, 3, 10, 4, 20 ________
(a) 10 (b) 3 (c) 5 (d) 15
Solution.
(c) 5
2, 3, 4, 5 are in A.P
5, 10, 20 are in G.P
Solution
Q9.
3, 17, 63, 257 ________.
(a) 1089 (b) 684 (c) 1023 (d) 509
Solution.
(c) 1023
41 - 1 = 3 , 42 + 1 = 17 , 43 - 1 = 63, and so on .
Solution
Q10.
3, 4, 10, 33, 136 ___________ .
(a) 63 (b) 489 (c) 685 (d) 90
Solution.
(c) 685
3 x 1 + 1 = 4, 4 x 2 + 2 = 10, 10 x 3 + 3 = 33 and so on .
Solution