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Mathematics

Grade10

Easy

Question

Which of the following is a geometric sequence.

1, 2, 3, 4, …
4, 2, 1, $\frac{1}{2},$ ….
8, 10, 12, 14, …
90, 81, 68, 59, …

hint Hint:

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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