Select the correct option that will fill in the blank and complete the series. 3, 5, 7, 9, 11, ? 2, 2, 2, 2, 2, ?
13, 2
Analyzing Series 1: 3, 5, 7, 9, 11, ?
Observe the difference between consecutive terms in the first series:
- $5 - 3 = 2$
- $7 - 5 = 2$
- $9 - 7 = 2$
- $11 - 9 = 2$
The pattern is an arithmetic progression with a common difference of 2. To find the missing term, add 2 to the last term:
Next term = $11 + 2 = 13$
Analyzing Series 2: 2, 2, 2, 2, 2, ?
Observe the difference between consecutive terms in the second series:
- $2 - 2 = 0$
- $2 - 2 = 0$
- $2 - 2 = 0$
- $2 - 2 = 0$
This is a constant sequence where each term is 2. The common difference is 0. To find the missing term, add 0 to the last term:
Next term = $2 + 0 = 2$
Conclusion
The missing terms for the two series are 13 and 2, respectively. This corresponds to option C.
Similar Questions
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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
