Question

...

Answer 1

Converges; it has a sum

Answer 2

Thanks!!! Can you help with another question I have?

Answer 3

I can try.

Answer 4

Ok hold on.

Answer 5

It would be geometric as it is changed by a common ratio each time (in this case, multiplied by .9)
Thus, the formula for this is N=.9C, where N is the new value, and C is the current value.

The value on the second year would be 1125.
The value on the sixth year would be $738.11

Answer 6

the geometric series 3 + 9 + 27 + 81 + ... diverges. it has no sum.

Answer 7

Wow! Thanks!! @saze
Are you sure it diverges? @sirm3d

Answer 8

yes. a geometric series is convergent if the common ratio is a value between -1 and +1 exclusive, divergent otherwise.

Answer 9

Oh ok. :)

Answer 10

Oh, my bad. I entirely forgot about that.

Answer 11

Props to @sirm3d

Answer 12

Lol do you mind if I ask one more question? Last one I promise! :)

Answer 13

\[10-3=17-10=24-17=...\] the number of beads per row form an arithmetic sequence with common difference 7. use the formula \[\large a_n = a_1 + (n-1)d\] to write the general term of the sequence.

Answer 14

Thank youuu! :)

Answer 15

No, it's totally cool. To get the answer, I multiplied the value by .9 each day, and repeated that for each day.

Answer 16

Ok thanks!!! :)