Question

find an for each geometric sequence
a1=5,r=3,n=6
and
a1=8,r=1/2,n=9

Answer 1

\[a_6=a_1 \times r^5\]

Answer 2

\(\Large \bf a_{\color{red}{ n}}=a_1\cdot r^{{\color{red}{ n}}-1}\)

Answer 3

and you're given pretty much all values

Answer 4

huh which 1 is 1 and 2

Answer 5

\[a_6=5 \times 3^5\]

Answer 6

ok if that is one what is #2

Answer 7

well, you're given \(\bf a_1\quad r\ and \ \quad n\)

Answer 8

so just plug them in

Answer 9

\(\bf a_1=5,r=3,n=6\qquad a_{\color{red}{ n}}=a_1\cdot r^{{\color{red}{ n}}-1}\to a_{\color{red}{ 6}}=5\cdot 3^{{\color{red}{ 6}}-1}\)

Answer 10

for the 2nd one, the same, just plug the values given

Answer 11

ok tank you so much

Answer 12

yw