Finding the Missing Numbers in a Patterns

Q.

Consider an arithmetic series and a geometric series having four initial terms from the set $\{11,8,21,16,26,32,4\}$ If the last terms of these series are the maximum possible four-digit numbers, then the number of common terms in these two series is equal to ___

Q. Identify the missing term in the sequence: $23,\underset{–}{},31,35,39$

1. 25
2. 26
3. 27
4. None of the above.

Q. Find the missing term for the sequence:
11, 13, 18, 26, 37, ___, 68

Q. Is this sequence an arithmetic sequence? $6,3,0,-3,-6,..$

1. Yes
2. No
3. Not a sequence

Q. Find the missing term in the sequence $\underset{–}{},28,36,84,72,252,144.$

1. $16$
2. $17$
3. $18$

Q. Find the next term of the arithmetic sequence after $13$:
$3,5,7,9,11,13,...$

1. 15

Q. For the pattern 68, ___, 54 to be an arithmetic sequence, the number that can be filled in the blank is .

Q. Guess the $3^{rd}$ term of an arithmetic sequence whose first term is $92.$ The difference between two consecutive terms is $8.$

1. $108$
2. $76$
3. $96$
4. $106$

Q. Is this an arithmetic sequence? $1,8,15,22,29,..$

1. Yes
2. No
3. Not a sequence

Q. Find the next term of the pattern after 14:
$2,6,10,14,...$

1. 16
2. 18
3. 20