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Sergio [31]
3 years ago
5

State why the series is convergent or divergent, and if it is convergent, find the sum.

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

Answer:

Converges, 10

Step-by-step explanation:

∑ 5 / 2ⁿ⁻¹

= ∑ 5 (½)ⁿ⁻¹

This is a geometric series with a₁ = 5 and r = ½.  Since |r| < 1, the series converges to:

S = a₁ / (1 − r)

S = 5 / (1 − ½)

S = 10

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List the first three multiples for 8
LekaFEV [45]

Answer:

8,16,24,32

Step-by-step explanation:

6 0
3 years ago
2 and one half divide by one fourth
solmaris [256]
Hi,

2 \frac{1}{2}  \div  \frac{1}{4}   \\ 2 \frac{2}{4}  \div  \frac{1}{4}  = 10

Hope this helps.
r3t40
3 0
4 years ago
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the
son4ous [18]

Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

5 0
3 years ago
Find the value of x. If​ necessary, write your answer in the simplest radical form.
Paul [167]

Answer:

x = 4\sqrt{5}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 1² = 9²

x² + 1 = 81 ( subtract 1 from both sides )

x² = 80 ( take square root of both sides )

x = \sqrt{80} = \sqrt{16(5)} = \sqrt{16} × \sqrt{5} = 4\sqrt{5}

3 0
2 years ago
Read 2 more answers
F(x) = -2x - 1; Find f (x - 4)
qaws [65]

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

5 0
3 years ago
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