Number Series Quiz 6

The logic is:

10 - 3 = 7

29 - 10 = 19

66 - 29 = 37

127 - 66 = 61

2nd round

19 - 7 = 12

37 - 19 = 18

61 - 37 = 24

3rd round

18 - 12 = 6

24 - 18 = 6

So, missing term

= 127 + (61 + 24 + 6)

= 127 + 91

= 218

There are two alternating series here. The first one is the square of the multiples of {3², 6^{2}, 9^{2} and 12^{2}} and the second one is a series of alternating prime numbers (2, 3, 5, 7). The missing number is a part of the first series so the missing number is 92 = 81.

the series follows following pattern.

18×18=324

26×26=676

38×38=1444

46×46=2116

58x58=3364, and so on.

All except 342, are perfect cube figures. 

10^{3} = 1000

9^{3} = 729

8^{3} = 512

6^{3} = 216

The series follows a pattern like:

118-69=49=7²

182-118=64=8²

263-182=81=9²

363-263=100=10²

The series follows a pattern like:

5³-0=125

6³-1=215

7³-2=341

8³-3=509

9³-4=725.

The pattern is

13 x 13,

14 x 14,

15 x 15,

16 x 16,

17 x 17,

18 x 18,

19 x 19.

The above series involves two operations: multiplication and addition of a number by the same number. The series runs like this:

20 x 2 + 2 = 42,

42 x 3 + 3 = 87,

87 x 4 + 4 = 352,

352 x 5 + 5 = 1765.

The next number, following this logic should be 1765 x 6 + 6 = 10596.

the given series follows the pattern as: (n2 + 1). Hence the next number will be like.

if n=15, (15²+1)=226

if n=16, (16²+1)=257

if n=17, (17²+1)=290

if n=18, (18²+1)=325

if n=19, (19²+1)=362

 

Logic is:

This is alternating series. The first series is 25,35,45 with a difference of 10. The second series is

65 - 50 = 15

85 - 65 = 20

85 + 25 = 110