Question

What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2?

A.) 160
B.) 50
C.) 12
D.) 5/8

Answer 1

The fifth term of the sequence whose first term is 10 and whose common ratio is ½ is 5/8. The correct answer between all the choices given is the last choice or letter D. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

Answer:

D

Step-by-step explanation:

Common ratio of half means that to get each successive terms, you have to multiply the preceding term by half.

Since first term is 10

2nd term is $10*\frac{1}{2}=5$

3rd term is $5*\frac{1}{2}=\frac{5}{2}$

4th term is $\frac{5}{2}*\frac{1}{2}=\frac{5}{4}$

5th term is $\frac{5}{4}*\frac{1}{2}=\frac{5}{8}$

Answer choice D is right.