Select the correct option that will fill in the blank and complete the series.
142
Finding the Number Series Pattern
The question asks to identify the next number in the given sequence: 52, 56, 65, 81, 106, ?
To solve this, let's analyze the differences between consecutive terms:
- $56 - 52 = 4$
- $65 - 56 = 9$
- $81 - 65 = 16$
- $106 - 81 = 25$
Identifying the Pattern Logic
Observe the differences calculated: 4, 9, 16, 25. These numbers are perfect squares:
- $4 = 2^2$
- $9 = 3^2$
- $16 = 4^2$
- $25 = 5^2$
The pattern shows that the difference between terms increases by consecutive squares, starting from $2^2$.
Calculating the Next Term
Following the pattern, the next difference should be the next square, which is $6^2$.
- Next difference $= 6^2 = 36$
To find the missing number in the series, add this difference to the last known term (106):
- Missing number $= 106 + 36$
- Missing number $= 142$
Therefore, the correct option is 142.
Similar Questions
Choose the option which completes the given figure series.
Select the correct option that will fill in the blank and complete the series.
18, 36, 108, 432, 2160, .............Select the correct option that will fill in the blank and complete the series.
T, R, P, N, ...., .......Select the correct option that will fill in the blank and complete the series. 21, 43, 85, 171, 341, .......
Select the correct option that will fill in the blank and complete the series.
3, 5, 7, 9, 11, ?
2, 2, 2, 2, 2, ?
Select the correct option that will fill in the blank and complete the series. FKP, GMQ, HOR, ?
Choose the option which comes next in the given figure series.
Select the correct option that will fill in the blank and complete the series.
R, U, X, A, ____Select the correct option that will fill in the blank and complete the series.
12, 14, 17, 15, 22, 16, ____Choose the option which completes the given figure series
Important Questions from Series
Select the option figure in which the given figure (X) is embedded (rotation is NOT allowed).
Identify the figure given in the options which when put in place of ? will logically complete the series.
When is a series of terms said to be in the order of increasing extension?
(A) When each term in the series (except the first) denotes a class having more members than a class denoted by the term preceding it.
(B) When the class size gets larger with each successive term.
(C) When each term in the series (except the first) denotes a class having fewer members than the class denoted by the term preceding it.
(D) When the class size gets smaller with each successive term
Choose the most appropriate answer from the options given below :
In the following question, select the missing number from the given series.
5, 10, 17, 26, 37, ?, 65
In the following question, select the missing number from the given series.
5, 10, 17, 26, 37, ?, 65
