Answer:
yes
Step-by-step explanation:
they are both triangles
Answer:
a) 34
b) 30
Step-by-step explanation:
so the nth term is just the position on the term, so if u want to find the 5th term you just have to substitute 5 in for n and solve!
a) 6n + 4
= 6(5) + 4
= 30 + 4
= 34 --> the 5th term for a sequence defined by 6n+4 is 34
b) n^2 + 5
= (5)^2 + 5
= 25 + 5
= 30 --> the 5th term for a sequence defined by n^2 + 5 is 30
hope this helps!
Answer:
The Riemann Sum for 
with n = 4 using midpoints is about 24.328125.
Step-by-step explanation:
We want to find the Riemann Sum for with n = 4 using midpoints.
The Midpoint Sum uses the midpoints of a sub-interval:
where 
We know that a = 4, b = 5, n = 4.
Therefore, 
Divide the interval [4, 5] into n = 4 sub-intervals of length 
![\left[4, \frac{17}{4}\right], \left[\frac{17}{4}, \frac{9}{2}\right], \left[\frac{9}{2}, \frac{19}{4}\right], \left[\frac{19}{4}, 5\right]](https://tex.z-dn.net/?f=%5Cleft%5B4%2C%20%5Cfrac%7B17%7D%7B4%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B17%7D%7B4%7D%2C%20%5Cfrac%7B9%7D%7B2%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B9%7D%7B2%7D%2C%20%5Cfrac%7B19%7D%7B4%7D%5Cright%5D%2C%20%5Cleft%5B%5Cfrac%7B19%7D%7B4%7D%2C%205%5Cright%5D)
Now, we just evaluate the function at the midpoints:
Finally, use the Midpoint Sum formula
This is the sketch of the function and the approximating rectangles.
It is $84.6. You multiply 1.6 by 13 which equals $20.8. Then you multiply 3.1 by 14 which equals $43.4. Then you multiply 1.2 by 17 which equals $20.4. Add them together and you get $84.6.
Hope this helps:)<span />
