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.
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In the following question, select the missing number from the given series.
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