20, జులై 2014, ఆదివారం

Mallapragada's Mathematics - (SERIES COMPLETION)




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.