Question

What is a possible value for the missing term of the geometric sequence? 46, ___ , 414, ...

Answer 1

\[46 \times r = 414 \div r\] find the r, and then find the common ratio.

Answer 2

I mean then find the geometric mean...

Answer 3

what he said^

Answer 4

\(\large {\begin{array}{llll}
term&value
\\\hline\\
1&46\\
2&\square \implies 46\cdot {\color{red}{ r}}\\
3&414\implies 46\cdot {\color{red}{ r}}\cdot {\color{red}{ r}}
\end{array}
\\ \quad \\
414=46r^2\implies \cfrac{414}{46}=r^2\implies \sqrt{\cfrac{414}{46}}={\color{red}{ r}}
\\ \quad \\
\square \implies 46\cdot {\color{red}{ r}} }\)