Question

What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of -8?

Answer 1

Beep Boop Beep Beep bOOP

Answer 2

>o>

Answer 3

The calculator ndoesnt like ur problem...

Answer 4

lmfao calculator nvr helps anymoar

Answer 5

>.<

Answer 6

The explicit equation is \[a _{n}=a _{1}* q ^{n-1}\]In your case \[a _{n}= 2 * (-4)^{n-1}\] or to put it more nicely:
\[a _{n}= 2 * \frac{ (-4)^{n} }{ 4 } = \frac{ (-4)^{n} }{ 2 }\]
(q is -4 because you divide the second term by the first)

I'm not sure about the domain though. I tried finding the minimum/maximum but the expression I got was \[\frac{ (-4)^{n} }{ 2 } + \frac{ (-4) ^{n}}{ 8 }\] which is positive for all even n-s and negative for odd ones.

Answer 7

a. an = 2(-8)n - 1; all integers where n ≥ 1
b. an = 2(-8)n - 1; all integers where n ≥ 0
c. an = 2(-4)n - 1; all integers where n ≥ 0
d. an = 2(-4)n - 1; all integers where n ≥ 1 uhhh these r the options >_< im thinking mayb a?

Answer 8

It's d because it would be a rational number if you plugged in 0 for n, so it has to be greater than or equal to 1.

Answer 9

okay :D thank you

Answer 10

glad to help :)