The missing term in the series 1, 4, 27, 16, ?, 36, 343, ... is
125
To find the missing term in the sequence 1, 4, 27, 16, ?, 36, 343, we need to analyze the pattern involved. Observation shows that the series is alternating between cubes and squares:
- The first term is 1, which is \(1^3\).
- The second term is 4, which is \(2^2\).
- The third term is 27, which is \(3^3\).
- The fourth term is 16, which is \(4^2\).
- The fifth term is missing. If we follow the pattern, this should be a cube. The term should be \(5^3\), which equals 125.
- The sixth term is 36, which is \(6^2\).
- The seventh term is 343, which is \(7^3\).
Therefore, the missing term in the series is 125, which matches the pattern of alternating cubes and squares.
Thus, the correct answer is 125.
Similar Questions
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The next term in the number series 10, 13, 22, 49, ______.
The next term in the number series 41, 27, 16, 8, ______ is:
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If the series 4, 5, 8, 13, 14, 17, 22, .... is continued in the same pattern, which one of the following is not a term of this series?
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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, ?
