Question
What should come in place of ‘?’ in the given series?
10 14 22 34 50 ?
The correct answer is
70
Solving the Number Series: 10 14 22 34 50 ?
To find the missing number in the series 10, 14, 22, 34, 50, ?, we need to identify the pattern.
Identify Pattern in Differences
Calculate the difference between consecutive terms:
- $14 - 10 = 4$
- $22 - 14 = 8$
- $34 - 22 = 12$
- $50 - 34 = 16$
The differences are 4, 8, 12, 16.
Determine Next Difference
Observe the pattern in the differences: 4, 8, 12, 16. This is an arithmetic sequence where each term increases by 4.
The next difference in the sequence will be $16 + 4 = 20$.
Calculate Missing Term
Add the next difference (20) to the last term of the series (50) to find the missing number:
$50 + 20 = 70$
Therefore, the number that should come in place of ‘?’ is 70.
Was this answer helpful?
Important Questions from Number Series (Notes)
- What will come in place of question mark (?) in the following series:
$12, 6, 6, 9, 18, ?$ - In the following question, select the missing number from the given series:
$2, 5, 17, 71, ?, 2159$ - Which number will come next in the series:
8, 4, 4, 6, 12, ? - One term in the given number series is wrong. Find out the wrong term.
3,10,27,4,16,64,5,25,125 - What should come in place of the question mark (?) in the given series?
$15 \ 22 \ 33 \ 50 \ 71 \ 98 \ ?$
Need Expert Advice?
