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4 years ago

Which of the following sequences are convergent

Mathematics

1 answer:

Schach [20]4 years ago

3 0

Answer:

option A and E

Step-by-step explanation:

Arithmetic sequence converge, only in the case only when r=0

otherwise , arithmetic sequence goes increasing or decreasing at a constant rate.

So we ignore second and fourth option

If |r|<1 then geometric sequence converge

if |r|>1 then geometric sequence diverge

In option A, r= 1/5 that is less than 1 so it converge

In option C, r= -2 , |r| > 1 so geometric sequence diverge

In option E, r= 2/3 that is less than 1 so it converges

Answer is option A and E

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Solar Impulse 2 is covered in 269.5 square meters of solar cells. Each cell is 150 square centimeters. How many solar cells are

Alik [6]

Area covered by the solar cells = 269.5 m^2

Area of one cell = 150 cm^2

Convert the area of one cell to m^2 by using the conversion factor 1m^2 = (100cm)^2 => 1 = 1m^2 / 1000 cm^2

=> 150 cm^2 * [1m^2 / 1000 cm^2] = 0.150 m^2

Now finf the number of times that 0.150 is contained in 269.5 by dividing 269.5 by 0.150

269.5 = 0.150 = 1,796.67

Which means that the number of cells is betwee 1796 and 1797.

5 0

4 years ago

The decimal 1,645.43 rounded to the nearest whole number is

Margarita [4]

Answer:

1,645

Step-by-step explanation:

5 0

3 years ago

Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit you

wel

The function is f(x) = x³ − 4x² + 2. Then the slope at x = 3 of the function will be 3.

<h3>How to find the slope?</h3>

The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Thus, we get:

Slope = rise/ run

The function is given below.

f(x) = x³ − 4x² + 2

A line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.

Then the slope of the function is given by the differentiation. Then we have

$\rm Slope|_3 = \dfrac{d}{dx} f(x)\\\\Slope|_3 = \dfrac{d}{dx} (x^3 - 4x ^2 + 2)$

Slope|₃ = 3x² − 8x

Slope|₃ = 3(3)² − 8(3)

Slope|₃ = 27 − 24

Slope|₃ = 3

Learn more about the slope here:

brainly.com/question/2503591

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4 0

2 years ago

Two Florida panthers were weighed. One weighs 6x + 21 pounds and the two together weigh 14x + 11 pounds. How much does the other

oksano4ka [1.4K]

Answer:

36.86

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

(3x)2 times x - 1 (simplify.)<br><br> a.) 3x <br> b.) 9/ x^2<br> c.) 9x <br> c.) 3/x^2

NISA [10]

it should be 6x^2-6x if you wrote it right.

7 0

3 years ago