Identify the Sequence 12 , 6 , 3 , 1.5

Problem

12,6,3,1.5,…

Solution

1. Calculate the ratio between the first two terms by dividing the second term by the first term.

6/12=0.5

2. Calculate the ratio between the next consecutive terms to see if the ratio is constant.

3/6=0.5

1.5/3=0.5

3. Identify the type of sequence based on the constant ratio. Since each term is found by multiplying the previous term by 0.5 this is a geometric sequence.

4. Determine the parameters of the sequence where the first term (a_1) is 12 and the common ratio r is 0.5

(a_1)=12

r=0.5

Final Answer

Geometric Sequence with *(a_1)=12,r=0.5

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