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GK MCQs

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1 + 2 + 4 + 8 + 16 + is an example of which of the following types of series?

19. 1 + 2 + 4 + 8 + 16 + is an example of which of the following types of series?

  1. Harmonic series
  2. Convergent series
  3. Arithmetic series
  4. Geometric series

Answer

The correct answer is: D) Geometric series

Explanation

A geometric series is represented by the series 1 + 2 + 4 + 8 + 16 + ... Each term in a geometric series is obtained by multiplying the previous term by a constant value known as the common ratio. The common ratio between consecutive phrases in this situation is 2 because each term is created by multiplying the previous term by 2.

1 × 2 = 2
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16 and so on.

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