Introduction to Sequences and Series

Look at this series: $31, 29, 24, 22, 17, ...$ What number should come next_____?

In following question, a number of series is given with one term missing. Choose the correct alternative that will follow the same pattern and find the unknown $1,2,3,6,9,18,?,54$.

The next number of the sequence $\frac{1}{2}, \frac{3}{4}, \frac{5}{8}, \frac{9}{16}....$ is:

What is the sum of the series $\frac{1}{5\times 8}+\frac{1}{8\times 11}..............+\frac{1}{242\times 245}$?

In the following question, a matrix of certain characters is given. These characters follow a certain trend, row-wise or column-wise. Find out this trend and choose the missing character accordingly.

In the following number series how many $7$’s are there which are followed by $4$ but not preceded by $8$ ?
$547897438757487487412745794$

In the question one number-series is given in which one term is wrong. Find out the wrong term.
$4, 11, 21, 34, 49, 69,91.$

Look at this series:$7, 10, 8, 11, 9, 12, ...$. What number should come next_____?

In the question, a letter-number series is given with one or more terms missing as shown by (?). Choose the missing term out of the given alternatives.
D-$4$, F-$6$, H-$8$, J-$10$, ?, ?

Look at this series: $5.2, 4.8, 4.4, 4, ...$ What number should come next_____?

Select the missing number from the given responses

In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
$1,2,5,12,27,58,121$_____.

Find the odd one out in the given series:

4 2.5 3.5 6.5 15.5 41.25 126.75

In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
$34,18,10,6,4$_____.

If A is the brother of B; B is the sister of C; and C is the father of D, how D is related to A?

In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces. $3, 9, 27, 81, ?.$

Look at this series: $544, 509, 474, 439, ...$ What number should come next_____?

A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?

In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces. $5,6,7,8,10,11,14,\_\_\_$

In the following number series how many $3\text{'}s$ are there which are preceded by an odd number and followed by an even number?
$53894372381384235734236$