18m^2
area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height
(4+8)/2 * 3
= 12/2 * 3
= 6 * 3
= 18
"Perimeter" is the distance all the way around the drawing. If the drawing has sides, then the perimeter is the SUM of the lengths of all the sides. It's exactly the distance an ant would have to walk along the line, to get all the way around to where he started from.
To get the perimeter of the triangle, you have to add up the lengths of the three sides.
(2a - 3) + (2a) + (3a + 1) =
2a - 3 + 2a + 3a + 1 .
Add up all the 'a's: 2a + 2a + 3a = 7a
Add up all the just plain numbers: -3 + 1 = -2
Write them together, as a binomial: 7a - 2
THAT's your expression for the perimeter.
. The series is divergent. To see this, first observe that the series ∑ 1/kn for n = 1 to ∞ is divergent for any integer k ≥ 2.
Now, if we pick a large integer for k, say k > 100, then for nearly all integers n it will be true that 1 > cos(n) > 1/k. Therefore, since ∑ 1/kn is divergent, ∑ cos(n)/n must also be divergent The *summation* is divergent, but the individual terms converge to the number 0.<span>by comparison test since cosn/n <= 1/n is convergent
and 1/n is divergent by harmonic series
so the series is conditionally converget </span>
Answer:
8. Arithmetic Progression
9. 
Step-by-step explanation:
Given
Solving (8): Arithmetic or Geometric
We start by checking if it is arithmetic by checking for common difference (d).
This gives:
<em>Because the common difference is equal, then it is an arithmetic progression</em>
<em></em>
Solving (8):
To find f(9), we substitute 9 for n
We need to solve for f(8); substitute 8 for n
We need to solve for f(7); substitute 7 for n
We need to solve for f(6); substitute 6 for n
We need to solve for f(5); substitute 6 for n
From the function, f(4) = 25 and f(1) = 55.
So:
Answer:
Step-by-step explanation:
