This is a geometric sequence, so use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -5
r is the common ratio, 5
and n is the number of terms
Thus,
Sum = ((-5)(5^6 - 1))/(5-1) = -19530
Answer:
If there is 1 at the top, then you have 1, then 2, then 3, etc.
total number of oranges equals:
1 + 2 + 3 + ... + 16 + 17 + 18 <-- stop at 18 because this is the number of oranges at the base
You can use the formula:
sum of first n numbers = n*(n + 1)/2
-->
18*19/2 = 9*19 = 171
or you can figure it out (basically derive the above formula):
you have:
1 + 18 = 19
2 + 17 = 19
3 + 16 = 19
...
How many pairs do you have? Well, it's just the number of numbers: 1-18 = 18 numbers (divide by 2) = 9 pairs)
9 pairs of 19 = 9 * 19 = 171
Hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the greatest common factor of 12x + 8
4(3x + 2) so one side is 4 and the other is 3x + 2
Answer:
3520.176 feet per minute
Step-by-step explanation:
First, we must convert 40 miles per hour (mph) to miles per minute (mpm):
40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute
Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:
0.6667 mpm = 0.6667 miles/minute * 5280 ft/mile = 3520.176 feet per minute
Answer:
Runner-up: $15,000
Winner: $75,000
Step-by-step explanation:
Let's create an equation for this problem.
Let x=the amount the runner-up receives
Let 5x=the amount the winner receives
Then,
x+5x=90,000
6x=90,000
x=15,000
5x=75,000
