Question

algebra 2

Answer 1

@agent0smith last one I think!!

Answer 2

Plug in n=1, that's your first term. Then n=2, then 3 then 4

Answer 3

i left my graphing calculator at home.. that's why I need so much help

Answer 4

You don't really need one.

Answer 5

i cant do exponents on my calculator

Answer 6

You don't need to, try doing it by hand

Answer 7

how?

Answer 8

By plugging in n's into -4(1/3)^(n-1)

Answer 9

yeah, i know what but how do i multiply an exponent by hand

Answer 10

Plug in n=1
-4(1/3)^(1-1) = -4(1/3)^0

Answer 11

oh so it's 0?

Answer 12

any number to the power of zero equals 1.

-4*(1/3)^0 = ?

Answer 13

-1.33333333333333333333333333333333333333333333

Answer 14

Any number to the power of zero is 1, so (1/3)^0 = 1

Answer 15

oh so -4

Answer 16

Now plug in n=2
-4(1/3)^(2-1)

Answer 17

okay so this time its -1.3333333333333

Answer 18

Leave as -4/3

n=3
-4(1/3)^(3-1)

Answer 19

-.44444444

Answer 20

Leave as a fraction, always.

Answer 21

Now plug in n=4, that's the fourth term.

Answer 22

-.148148148

Answer 23

does it diverge or converge?

Answer 24

^leave them all as fractions. -4/9 and -4/27

It converges if the common ratio (the one with the exponent attached) is less than 1. The common ratio is 1/3, so...

Answer 25

oh, okay I will and so it converges?

Answer 26

Oh i forgot to check this... did you manage part c?