SERIES
COMPLETION
| 
Sl.No. | 
SERIES | |
| 
1 | 
1, 2 ,6,12,20 ____ | |
| 
2 | 
25,45, 
  ____ 50 | |
| 
3 | 
7,15,31,63  ____ | |
| 
4 | 
7,12,19,  ____ 39 | |
| 
5 | 
0, 6, 24, 60,120,210, _____ | |
| 
6 | 
4,6,12,14,28,30, ______ | |
| 
7 | 
1,3,6,7,9,____, 12,21 | |
| 
8 | 
1,4,9,16,25, _____ | |
| 
9 | 
20,19,17,  _____ 10,5 | |
| 
10 | 
2,3,5,7,11 ____ 17  | |
| 
11 | 
6,11,21,36,56, ____ | |
| 
12 | 
1,6,13,22,33 ____ | |
| 
13 | 
3,9,27,81, ______ | |
| 
14 | 
1,9,17,33,49,73, ____ | |
| 
15 | 
2,5,9, ____ 20,27 | |
| 
16 | 
5,9,17,29,45, ____ | |
| 
17 | 
3,7,15,31,63 _____ | |
| 
18 | 
1,6,15, ____ 45,66 | |
| 
19 | 
1,2,3,5,8, ____ | |
| 
20 | 
121,225,361, ____ | |
| 
21 | 
0,2,8,14, ____ 34 | |
| 
22 | 
5,6,9,15 ____ 40 | |
| 
23 | 
17,19,23,29,------ 37 | |
| 
24 | 
1,2,5,12,17,58,121,_____ | |
| 
25 | 
1,3,4,8,15,27,___ | |
| 
26 | 
66,36,18,______ | |
| 
27 | 
3,6,18,72 | |
| 
28 | 
19,2,38,3,114,4 _____ | |
| 
29 | 
2 ___ 8,16,32,64,128,256 | |
| 
30 | 
45,54,47,____,49,56,51,57,53 | 
| 
Sl.No. | 
SERIES/ Answers  | 
| 
1 | 
1, 2 ,6,12,20 ____ clearly we see the
  pattern (n + N2) , 1, 1+12, 2+22, 3+32,4+42,
  5+52 i.e. 5 _+25 =30   | 
| 
2 | 
25,35, 
  ____ 55 
Clearly we see that pattern 5x 5=25, 5
  x7=35, Ans. 5x9 =45,  5x11 =55 | 
| 
3 | 
7,15,31,63  ____ clearly the rule dedicated between two
  adjust ment numbers (x2+1)= 7x2+1=15,15 x 2+1=31,31x 2+1=63,Ans.63 x2+1=127  | 
| 
4 | 
7,12,19,  ____ 39 
Given sequence follows the pattern  
5,7,9,11 …  i.e. 7+5=12, 12 + 7=19, Ans. 19+9=28, 28 +
  11= 39,  | 
| 
5 | 
0, 6, 24, 60,120,210, _____ 
Pattern 13 -1=0, 23
  -2=6, 33 -3=24,     43
  -4 = 60, 53 -5= 125-5=120, 63 -6=216-6=210,  Ans. 73 -7= 343-7=336 | 
| 
6 | 
4,6,12,18,28,42, ______ 
Given sequence in two series
  4,12,28,….4 x 9= 36 6,18,42,. 6x9=54  | 
| 
7 | 
1,3,6,7,9,____, 12,21 prime numbers of
  one series 3,7,13, another series 3 x3, 3x4, 3x5=15  | 
| 
8 | 
1,4,9,16,25, _____                              12,
  22,32,42,52,62   Ans. 36 | 
| 
9 | 
20,19,17,  _____ 10,5 The pattern is  -1,-02,-3,… 20-1,19-2, Ans.17-3 =14 
14-4=1=, 10-5=5 | 
| 
10 | 
2,3,5,7,11 ____ 17 prime numbers of 
3,7,11,13,17   Ans. 13  | 
| 
11 | 
6,11,16,21,36,56, ____ The pattern is
  1x5+1=6,2x5+1=11, 3x5+1=16,4x5+1=21, 7x5+1=36, 11x5_1=56, 13x5+1=66 | 
| 
12 | 
1,6,13,22,33 ____ the pattern
  +5,+7,+9,+11,+13 =46 Ans. | 
| 
13 | 
3,9,27,81, ______ 
3,32,33,34,35
  Ans. 243  | 
| 
14 | 
1,9,17,33,57,, ____  adding 8 table in each number i.e.1+8=9,
  9+8=17,17+16=33, 33+24=57, 57+32=89  | 
| 
15 | 
2,5,9, ____ 20,27 The pattern is
  3,4,5, adding  2+3=5,
  5+4=9,9+5=14,14+6=20,20+7=27 i.e ans. 14 | 
| 
16 | 
5,9,17,29,45, ____ each num. 4th
  table adding 5+4=9, 9+8=17, 17+12=29, 29+16=45, Ans. 45+20=65 | 
| 
17 | 
3,7,15,31,63 _____
  3x2+1=7,7x2+1=15,15x2+1=31,31x2+1=63, 63x2+1= 127 | 
| 
18 | 
1,6,15, ____ 45,66 The pattern 1+5=6,
  6+9=15, 15+13= 28, 28+17=45, 45+21=66 i.e. ans. 28 | 
| 
19 | 
1,2,3,5,8, ____  add 1,2,3,4, 1+1=2,2+1=3,3+2=5.5+3=8.8+4=12
  Ans.12 | 
| 
20 | 
121,225,361, ____ 112,152,192,
  232 
An. 529 | 
| 
21 | 
0,2,8,14, ____ 34 The numbers
  squares-2, 2square-2,3square-2,4square-2,5square-2, 6 square-2 
Ans. 25-2=23  | 
| 
22 | 
5,6,9,15 ____ 40 
5+1=6, 6+1+2=9,9+1+2+3=15, 15+1+2+3+4=25,
  25+1+2+3+4+5=40 Ans. 25  | 
| 
23 | 
17,19,23,29,------ 37  it is prime numbers con. 17,19,23,29,31,37
  Ans. 31 | 
| 
 24 | 
1,2,5,12,27,58,121,_____    2x2+1=5, 5x2+2=12, 12x2+3=27, 27x2+4=58,
  58x2+5=121, 121x2+6=248 Ans.  | 
| 
25 | 
1,3,4,8,15,27,___ the sum of any three
  consu cugative 1+3+4=8, 3+4+8=15, 4+8+15=27, 8+15+27=50 Ans.  | 
| 
26 | 
66,33,22,______ Ans. 11 | 
| 
27 | 
3,6,18,72 ____ 3x1=3,3x2=6,6x3=18, 18
  x4=72, 72x5= 360 | 
| 
28 | 
19,2,38,3,114,4 _____ The combinations
  of two series  19x 2=38, 38 x 3=114,      114 x 4=456 | 
| 
29 | 
2 ___ 8,16,32,64,128,256  2x2=4, 4x2=8  
8x2=16, 16x2=32, 32x2=64, Ans. 4 | 
| 
30 | 
45,54,47,____,49,56,51,57,53
  alternative series 54,55,56,567,58,.. 45,47,49,51,53, 
Ans. 55. | 
 
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