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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Important Questions from Series
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.
52, 56, 65, 81, 106, ?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. FKP, GMQ, HOR, ?
