Question

Which of the following is the formula for the geometric sequence?5, 25, 125, 250, …

Answer 1

please help me someone

Answer 2

what factor does the next term in the sequence have compared the the term before it

Answer 3

its times 5

Answer 4

good ,

Answer 5

so what would be the formula

Answer 6

so the first term = 5
the second is 5x5 = 5^2

the third is 5x5x5 = 5^3

Answer 7

whats the nth term?

Answer 8

i not sure

Answer 9

well when n=1 the term is 5
when n=2 the term is 5^2
when n=3 the term is 5^3
when n=n the term is ......?

Answer 10

5^9

Answer 11

so is the formula
an=5(5)^n − 1

Answer 12

why do you have two fives in you equation?

Answer 13

oh wait i see now

Answer 14

yeah you could have that

Answer 15

ya

Answer 16

\[a_n=5(5)^{n − 1}\]
\[a_1=5(5)^{1 − 1}=5(5)^0=5\times1=5\]\[a_2=5(5)^{2 − 1}=5(5)^1=5\times5=25\]
it works

Answer 17

but you could simplify it
\[a_n=5(5)^{n − 1}=5^1\times5^{n-1}=5^{n-1+1}=5^n\]