Mathematics
Grade10
Easy

Question

Which of the following is a geometric sequence.

  1. 1, 2, 3, 4, …    
  2. 4, 2, 1, fraction numerator 1 over denominator 2 end fraction comma ….    
  3. 8, 10, 12, 14, …    
  4. 90, 81, 68, 59, …    

hintHint:

A sequence in which the constant ratio between two consecutive terms is constant is called a geometric sequence.

The correct answer is: 4, 2, 1, fraction numerator 1 over denominator 2 end fraction comma ….


    A sequence in which the constant ratio between two consecutive terms is constant is called a geometric sequence.
    In the sequence 4, 2, 1, fraction numerator 1 over denominator 2 end fraction comma horizontal ellipsis, each term is obtained by multiplying the previous term by fraction numerator 1 over denominator 2 end fraction.
    So, the constant ratio of the geometric sequence is fraction numerator 1 over denominator 2 end fraction.

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