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allsm [11]
3 years ago
8

Consider the infinite geometric series below. a. Write the first 4 terms of the series b. Does the series diverge or converge? c

. If the series has a sum, find the sum. ∑ [infinity] n=2 (− 2) n−1
Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

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 ±∞

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musickatia [10]

Answer:

Step-by-step explanation:

The equation of a line

y = mx + c

y - intercept point y

m - slope of the line

x - intercept point x.

c - intercept of the line

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given two points

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x1 = -7

y1 = -7

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Insert the values into the equation

m = 4 - (-7) / -7 -(-7)

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Step 2: sub any of the two points given into the equation

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x = -7

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-77/0 is math error which means that the points are not correct

4 0
3 years ago
What is the justification for each step in the solution of the equation?
Alexandra [31]

For this case we have the following equation:

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If we multiply both sides of the equation by 3 we get:

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Applying the distributive property we have:

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\frac{-4x}{-4}= \frac{13}{-4}\\

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3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

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PLZ ANSWER THIS<br> thanksssss
just olya [345]

Answer:

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Step-by-step explanation:

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