There is no sum for this geometric series. it diverges rather than converges due to the absolute value of the common ratio (r), which is -3, being 3. for a geometric series to have a sum (to converge), the absolute value of r must be less than 1.
(you find r by dividing a2/a1, a3/a2, etc.)
hope this helps
Answer:
$200
Step-by-step explanation:
First, find the unit rate:
12/3= 4
Then multiply:
4*50= 200
Hope this helps!
Answer:

Step-by-step explanation:

Answer:
100 blocks.
Step-by-step explanation:
Let x represent number of blocks built by Gage.
We have been given that Colton was 5 times as fast at building the castle than Gage, so number of blocks built by Colton would be
.
We are also told that it takes 120 blocks to build the castle. Since Colton and Gage were building a castle together, so number of blocks built by both will be equal to 120.




Number of blocks built by Colton:
.
Therefore, Colton had build 100 blocks.
Answer:
<6,7>
Step-by-step explanation:
u is the vector <5,1>
v is the vector < 1,6>
Add the corresponding components
< 5,1> + <1,6> = <5+1, 1+6> = <6,7>