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jenyasd209 [6]
3 years ago
12

Determine whether the geometric series 25 − 5 + 1 − 0.2 ... converges or diverges, and identify the sum if it exists.

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0

Answer:

Converges

Sum = 20.8333

Step-by-step explanation:

A geometric series has a general formula of:

\sum ar^n

Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.

In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:

\sum 25*(-0.2)^n

Since 0.2 < 1.0, the series converges.

The sum of the series is given by:

S=\frac{a}{1-r}\\S=\frac{25}{1-(-0.2)}\\S=20.8333

The sum is 20.8333.

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For what value of a is (a,9) a solution for the equation y=2x+1?
Ivahew [28]

Answer:

Step-by-step explanation:

(a,9).......we dont know " a " (or x) but we do know y...it is 9

so sub in 9 for y and solve for x

y = 2x + 1

9 = 2x + 1

9 - 1 = 2x

8 = 2x

8/2 = x

4 = x <======= ur answer is D

5 0
3 years ago
Standard form of a line passing through points (1, 3) and (-2, 5)
____ [38]

Answer:

<h2>2x + 3y = 33 </h2>

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

Hence, the slope of this line is m = rise / run = -2/3.

Start with the slope-intercept form y = mx + b.

Substitute 3 for y and 1 for x and -2/3 for m:

3 = (-2/3)(1) + b.

Remove fractions by mult. all three terms by 3:

9 = -2 + b, so b = 11, and y = (-2/3)x + 11

Again, mult. all three terms by 3:

3y = -2x + 33, or, in standard form,

<h2>2x + 3y = 33 </h2>
6 0
3 years ago
3x-15+10m-2x ; x=5 and m=7 <br> evaluate the expression for the given value of the variable.
lianna [129]
3(5)-15+10(7)-2(5)
15-15+70-10
=60
The answer is 60
3 0
3 years ago
According to your online content assignment, a good schedule keeps a student from:
seraphim [82]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
4×-3(×-2)=21<br>Show your Work​
IRINA_888 [86]

Answer:

24 does not equal 21

Step-by-step explanation:

4×-3(×-2)=21

Distribute:

4*6=21

24 does not equal 21

5 0
3 years ago
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