9514 1404 393
Answer:
2187
Step-by-step explanation:
This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...
an = a1·r^(n-1)
an = 3^(n-1)
Then the 8th term is ...
a8 = 3^(8-1) = 2187
Answer:
Consider the number of children to be x.
So, 144 coins were divided amongst x children.
For x-3 children, each child would have 16 coins
So, (x-3)*16=144
Solving for x, x-3=144/16
or x-3=9
or x=9+3=12
Answer is 12
They are essentially asking us to solve:

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.
The oldest cousin should be 10. If their ages are consecutive even whole numbers, then the younger cousins should be 2 & 4. 2+4=6+10=16