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1 mark

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
4, 9, 25, 64, 169, ?

  1. A
    441
  2. B
    225
  3. C
    289
  4. D
    256

Solution & Step-by-step Explanation

Let's evaluate the given terms as perfect squares:
4=2
2


9=3
2


25=5
2


64=8
2


169=13
2


Notice the base numbers under the squares: 2,3,5,8,13.
This forms a Fibonacci-like sequence where each subsequent base is the sum of the previous two bases:

2+3=5

3+5=8

5+8=13

8+13=21

So, the next base number is 21.
The next term in the series will be 21
2
=441.

Practice this question

Try it yourself before checking the explanation above.

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
4, 9, 25, 64, 169, ?
A
441
B
225
C
289
D
256

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