Find the next two terms of the geometric sequence 1/3,5/6,25/12,...

Taniya Melton

Taniya Melton

Answered question

2022-10-26

Find the next two terms of the geometric sequence 1 3 , 5 6 , 25 12 , ...

Answer & Explanation

blackcat1314xb

blackcat1314xb

Beginner2022-10-27Added 19 answers

A geometric sequence is a sequence of numbers generated by mutiplying the previous term by the common ratio or r.
Find the common ration r by dividing any term by the previous term.
In this example, r = 5 6 ÷ 1 3 = 5 2
The second term is generated by multiplying the first term by 5 2
or 1 3 5 2 = 5 6
The third term is generated by multiplying the second term by 5 2 or 5 6 5 2 = 25 12
Similarly, the fourth term is 25 12 5 2 = 125 24
The fifth term is 125 24 5 2 = 625 48

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