Question

There are three geometric means between 10 and 2,560.
What is the value of tn?
Select one:
a. 10
b. 150
c. 1150
d. 2560

Answer 1

@zepdrix

Answer 2

\(\normalsize\color{blue}{ 10 \times r^4=2,560\LARGE\color{white}{ \rm │ }}\)

Answer 3

Solve for the common ratio,
\(\normalsize\color{blue}{ 10 \times r^4=2,560\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{ r^4=256\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{ r^4=4^4\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{ r=4\LARGE\color{white}{ \rm │ }}\)

Answer 4

The knowing that `r=1`, and `a1=10` fill in the blanks.