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Sergio [31]
2 years ago
5

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

Mathematics
1 answer:
MatroZZZ [7]2 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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How many litters of apple syrup and water did she use in the ratio of 2:3 and made 1800 ml of such fruit juice
sp2606 [1]

Answer:

720 mL ; 1080 ml

Step-by-step explanation:

Givenn:

Apple syrup : water = 2 : 3

Fruit juice volume made using the ratio above = 1800 ml

Sum of ratio = 2 + 3 = 5

Litres of Apple syrup :

(Syrup ratio / total) * total volume of fruit

(2 / 5) * 1800

= 0.4 * 1800

= 720 ml

Litres of water :

(water ratio / total) * total volume of fruit

(3 / 5) * 1800

= 0.6 * 1800

= 1080 ml

5 0
3 years ago
Please help with this question
barxatty [35]

slope=<u>y</u><u>2</u><u> </u><u>-</u><u> </u><u>y</u><u>1</u>

x2 - x1

= <u>-</u><u>1</u><u> </u><u>-</u><u> </u><u>-</u><u>3</u>

-7 - -9

= <u>-</u><u>2</u>

-2

= 1

I think the answer is D

3 0
3 years ago
Find the measure of X<br> Find the measure of PS and QR
AveGali [126]

Answer: x=4. PS=QR=15

Step-by-step explanation:

5 0
2 years ago
Please help
attashe74 [19]

Answer:

8%

Step-by-step explanation:

Its still 8% of her money

3 0
3 years ago
PLEASE HELP, I WILL UP POINTS AND VOTE BRAINLIEST! DONT MAKE ME WASTE MY 88 POINTS.
Allushta [10]

Answer:

Ok im  using a standered form calculator:

1. 9/7x + 1/7 = -8

2. y = -6/5x - 3 =  -11

3. y = 1/3x - 2 = -10

Step-by-step explanation:

I will be glad to help more

6 0
3 years ago
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