Question

Help please?
What is the sum of the geometric sequence -4, 24, -144, ... if there are 6 terms?

-159,963
26,660
26,661
159,963

Answer 1

notice how you multiply each term by -6 to get the next term

Answer 2

\[\Large -4{\color{red}{*(-6)}} = 24\]
\[\Large 24{\color{red}{*(-6)}} = -144\]
etc etc

Answer 3

what is the term that comes after -144?

Answer 4

864?

Answer 5

correct

Answer 6

and then after that?

Answer 7

I'm not sure

Answer 8

you keep the pattern going, multiply the last term (in this case, 864) by -6

Answer 9

Ohhhhh okay. Yeah. I get it now. Thank you!

Answer 10

the goal is to generate 6 terms, then add them all up

Answer 11

the good news is that you have 3 already, so you just need 3 more

Answer 12

Okay. Thanks a bunch!

Answer 13

sure thing