Answer:
40 units dont put a negative sign in the front tho
Answer:
- S7 = 175
- S17 = 2465
- Sn = 1/2(n³ +n)
Step-by-step explanation:
The progression of sums is ...
1, 5, 15, 34, 65, ...
So, first differences are ...
4, 10, 19, 31
Second differences are ...
6, 9, 12, ...
Third differences are constant:
3, 3, ...
This means the expression for Sn will be a cubic expression. If dn is the first of the n-th differences, then the equation can be written as ...
Sn = S1 +(n -1)(d1 +(n -2)/2(d2 +(n -3)/3(d3)))
And this simplifies a little bit to ...
Sn = 1 +(n -1)(4 +(n -2)(n +3)/2)
In simpler form, we have ...
Sn = 1/2(n³ +n)
Then the two terms we're interested in are ...
S7 = (1/2)(7³ +7) = 175
S17 = (1/2)(17³ +17) = 2465
Answer:
It would be: no; the two figures are oriented differently
Step-by-step explanation:
I'd say option D because you can just tell right off the bat that if x = 0, then f(x) = 43.75.
Answer:
40 cups
Step-by-step explanation:
7 part nuts and 2 parts M&M makes up 1 trail mix
7 and 2 part = 9 parts in total
There are 180 cups in total, so each part would be:
180/9 = 20 cups = 1 part
Now, we know there are 2 parts M&Ms and there are 20 cups in a part, so:
M&Ms required = 2 * 20 = 40 cups
