2, 5, 12, 23, 30, 17, 8, ____ ?



3.
After adding 1 to 2, the first number, an additional number
is added to each resulting number, yielding 3, 5, 8, 12, etc.
The first number is written on the far left, the second
number is on the far right, the third number is second from the left, the fourth number is second from the right, & so on.

31, 53, 97, 275, 451, ___ ?



803.

The first number is 22, but you subtract 1 from the
last number, & add it to the first number.
Double 22, & then perform the same procedure,
& you have 53, & so on.

8, 65, 293, 4472, 80291, ____ ?


654431.
Each number is shown in reverse.
After 8, each number represents the product after 8 is
consecutively multiplied by 7.

2, 15, 13, 12, 12, 11, 11, ___ ?



Answer is 11.

The numbers represent the numbers immediately before and
after the decimal point, but 0's are not shown.
The first number, 2, is for 2/1;
15 is for 3/2,
13 is for 4/3,
& so on.

5, 6, 7, 8, 8, 8, 8, 8, ___ ?



Answer is '9'

Each number represents the first number found after the
decimal point when one number is divided by another.
The first number,
5 is for 1/2,
6 is for 2/3,
7 is for 3/4,
8 is for 4/5,
& so on.

5, 6, 2, 9, 5, 1, 4, ___ ?



Answer is 1

The series is pi reversed.

pi = 3.14159265

7, 8, 5, 5, 3, 4, 4, 6, 9, 7, 8, ___ ?



Answer is '8'
Each number is the number of letters in each month of
the year, beginning with January.

3, 3, 5, 4, 4, 3, 5, 5, 4, ___ ?



3

Each number is the number of letters in the word
for each number from ONE to TEN.

6, 6, 7, 9, 8, 6, ___ ?



8

Beginning with Sunday, each number represents the number
of letters in each day of the week.

3, 10, 21, 44, 65, 102, ___ ?



133.
A very tough one!
The numbers represent the odd prime numbers, multiplied by the
number for their place in the series of odd prime numbers.
3 is the first odd prime number,
& because it is first, it is multiplied by 1;

5 is the second odd prime number, & is thus multiplied by 2,
which yields 10,
& so on.

100,365,24,60,___ ?



Answer is 60.
100 years in a century,
365 days in a year,
24 hours in a day,
60 minutes in an hour, &
60 seconds in a minute.

3,5,2,9,4,1,1___ ?



7.
The numbers in the series will be displayed
if you divide 6 by 17.

4,2,2,3,6,15, ___ ?




0,0,3,20,115,714,5033,____ ?




12,33,89,250,726, ___ ?




6,15,35,77,143,221,323,____ ?




1, 11, 21, 1211, 111221, 312211, 1311221, 111321221,___ ?



The sequence:
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
...

It's actually quite simple After starting the sequence with 1, each term in the sequence consists of groups of two numbers based on the previous term - the first being the quantity and the second specifying which digit.

Example: the first term is 1, which has "one 1" in it, therefore 11.
11 has "two 1's" in it, therefore 21.
21 has "one 2 and one 1" in it and therefore 1211.

23,5,12,3,15,13,___?



Hint: A way to say "HELLO"!


Answer is '5'
Each number represents a letter of the alphabet,
so the series says WELCOME.

1,16,36,___,81,100,144 ?



The answer is 64

it is a series of squares of non-prime numbers

1,2,3,5,8,___ ?



This is a simple one
n + (n+1)= (n+2)
so
1+2=3
2+3=5
3+5=8
5+8=13

1, 2, 6, 42, 1806,____ ?



(1x1)+1=2
(2x2)+2=6
(6x6)+6=42
(42x42)+42=1806
(1806x1806)+1806=3263442

10 , 9 , 60 , 90 , 70 , 66 ,____ ?



The answer to this question is 96

ten 10 is max no. for which 3 characters are used
nine 9 is max no. for which 4 characters are used
sixty 60 is max no. for which 5 characters are used

similarly 90 - 6
70 - 7
96 - 8

9, 61, 52, 63, 94, ___ , 18 ?



it's a series of squares with digits of each number reversed.

9 --> 9 = 3²
61-->16 = 4²
52-->25 = 5²
63-->36 = 6²
94-->49 = 7²
__
18-->81 = 9²

the number in the blank is 8² with digits reversed, i.e.
8² = 64 --> 46

so the series should read: 9, 61, 52, 63, 94, 46, 18