Question
Choose the missing term (?) of the following series.
2,7,27,107,427,?
The correct answer is
1707
To find the missing term in the series 2, 7, 27, 107, 427, ?, we need to identify a pattern or rule governing the progression of terms. Let's analyze the sequence step-by-step:
- Examine the differences between consecutive terms:
- Difference between 7 and 2: \(7 - 2 = 5\)
- Difference between 27 and 7: \(27 - 7 = 20\)
- Difference between 107 and 27: \(107 - 27 = 80\)
- Difference between 427 and 107: \(427 - 107 = 320\)
- Analyze the differences:
- The differences are: 5, 20, 80, 320.
- Each difference is multiplied by 4 to reach the next difference:
- \(5 \times 4 = 20\)
- \(20 \times 4 = 80\)
- \(80 \times 4 = 320\)
- Predict the next difference:
- The next difference should be \(320 \times 4 = 1280\).
- Find the missing term:
- Add the predicted difference to the last known term:
- \(427 + 1280 = 1707\)
- Add the predicted difference to the last known term:
Thus, the missing term in the series is 1707.
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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?
$15 \ 22 \ 33 \ 50 \ 71 \ 98 \ ?$
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