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Select the number from among the given options that can replace the question mark (?) in the following series.
4,8,16,64,36,216,64,?

  1. A
    512
  2. B
    432
  3. C
    343
  4. D
    729

Solution & Step-by-step Explanation

This series is an alternating combination of two separate sequences:
Series 1 (at odd positions): 4,16,36,64,…
These are squares of consecutive even numbers:

2
2
=4
4
2
=16
6
2
=36
8
2
=64
Series 2 (at even positions): 8,64,216,?
These are cubes of consecutive even numbers:

2
3
=8
4
3
=64
6
3
=216
Following this pattern, the next term in Series 2 must be the cube of 8:

8
3
=512

Practice this question

Try it yourself before checking the explanation above.

Select the number from among the given options that can replace the question mark (?) in the following series.
4,8,16,64,36,216,64,?
A
512
B
432
C
343
D
729

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