square
heptagon
14-gon
Answer:
Step-by-step explanation:
Given the geometrical series
∑ [infinity] n=2 (− 2) n−1
I think the correct series should be the sum from n = 2 to ∞ of (-2)^n-1
So,
∑(-2)^(n-1)...... From n = 2 to ∞
A. The first four terms
When n = 2
(-2)^(2-1) = (-2)^1 = -2
When n = 3
(-2)^(3-1) = (-2)^2 = 4
When n = 4
(-2)^(4-1) = (-2)^3 = -8
When n = 5
(-2)^(5-1) = (-2)^4 = 16
B. The series will diverge since the common ratio is not between 0 and 1
So, let use limit test
Lim as n →∞ (-2)^(n-1) = (-2)^∞ = ±∞
Since the limit is infinite, then the series diverges
C. Since her series diverges we can find the sum, the sum is infinite, so it will sum up to ±∞
Carla will have written 85 pages in 5 months.
A linear equation is an algebraic equation of the form y=mx b. which contains only a constant and first-order (linear) term, where m is the slope and b is the y-intercept. Sometimes the above is called a "linear equation in two variables" where y and x are the variables.
A linear equation in one variable is an equation that says that two linear expressions are equal (or one is equal to a constant). Or to look at it another way, one way to solve this equation is to graph the related equation y = 2x and find where that line intersects the line y = 10. Given:
15 pages written for every month for 5 months plus the 10 pages she has already written is equal to the total number of pages written in 5 months.
x= number months written. In this case, it is 5 months.
y= number of pages written in 5 months
The linear equation y = 15x + 10
y = 15(5)+10
y= 75+10
y = 85
Carla will have written 85 pages in 5 months.
To learn more about linear equation, refer;
#SPJ2