The next term in the number series 41, 27, 16, 8, ______ is:
3
To solve the problem of finding the next term in the series \( 41, 27, 16, 8, \ldots \), let's examine the pattern in the series:
- First, calculate the difference between consecutive terms:
The difference between \( 41 \) and \( 27 \) is given by:
\(41 - 27 = 14\)
- The difference between \( 27 \) and \( 16 \) is calculated as:
\(27 - 16 = 11\)
- The difference between \( 16 \) and \( 8 \) is:
\(16 - 8 = 8\)
- Observing the pattern in the differences: \( 14, 11, 8, \ldots \)
We can see that the differences are decreasing by \( 3 \) each time. Thus, the next difference should be:
\(8 - 3 = 5\)
- Subtract this difference from the last term in the series \( 8 \) to find the next term:
\(8 - 5 = 3\)
Thus, the next term in the series is 3, which matches the correct option provided.
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Important Questions from Number Series
- In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 - Operations on 13 such as adding /subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
X : 676 :: 17 : Y - Which of the following options should come in place of the question mark (?) in the given series to make it logically complete?
125, 128, 133, 140, 149,? - What should come in place of the question mark (?) in the given series?
801 800 792 765 701 ? - What should come in place of the question mark (?) in the given series?
101 110 121 134 149 ? - What should come in place of the question mark (?) in the given series?
40, 48, 58, 66, 76, ?
