Question

write an explicit formula for each geometric sequence. Then generate the first five terms.
a1=6, r=2 @sissyedgar

Answer 1

\(\large\color{black}{ \displaystyle a_1=6 }\)
\(\large\color{black}{ \displaystyle r=2 }\)

\(\large\color{black}{ \displaystyle a_2=6\times 2=12 }\)
\(\large\color{black}{ \displaystyle a_3=12 \times 2=24 }\)

Answer 2

and on...

Answer 3

but what is the explicit formula for this equation @SolomonZelman

Answer 4

well \(\large\color{black}{ \displaystyle a_n=\left(a_1\right)\times({\rm r})^{n-1} }\)

Answer 5

use, \(\large\color{black}{ \displaystyle a_n=\left(a_1\right)\times({\rm r})^{n-1} }\)

but in your case, \(\large\color{black}{ \displaystyle a_n=\left(6\right)\times({\rm 2})^{n-1} }\)

Answer 6

\[\sum_{n=1}^{5} (2n+3)\] @SolomonZelman

Answer 7

find the sum of each finite series

Answer 8

no, that is a series

Answer 9

that is the sum of all terms

Answer 10

\(\large\color{black}{ \displaystyle \left\{6\times 2^{n-1}\color{white}{\Huge|}\right\}_{n=1}^{\infty} }\)