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Dvinal [7]
3 years ago
7

Find the common ratio of the following geometric sequence. If necessary, use the slash bar ( / ) to enter a fraction. Reduce fra

ctions to their lowest terms.,
2/5 , -4/15 , 8/45 , -4/15 , -8/45
Mathematics
1 answer:
algol [13]3 years ago
5 0
We have that
<span>2/5 , -4/15 , 8/45 , -4/15 , -8/45

we know that
 
</span><span>A geometric sequence is defined by   
a(n + 1) = r*a(n)
so
r = a(n + 1) / a(n)</span>

Let
a1=2/5
a2=-4/15
a3=8/45

a2/a1=(-4/15)/(2/5)=-20/30------> -2/3
a3/a2=(8/45)/(-4/15)=-20/30------> -30/45--------> -2/3

<span>the common ratio is
</span>r=-2/3
calculate
a4=r*a3---------> (-2/3)*8/45-----> -16/135
a5=r*a4--------> (-2/3)*(-16/135)-----> 32/405

the correct geometric sequence is 
2/5 , -4/15 , 8/45 , -16/135 , 32/405, .....

the answer is
the common ratio is r=-2/3

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aksik [14]

Answer:

D) 0

Step-by-step explanation:

Remainder is zero as 10 is fully divisible by 2.

<u>Proof</u>:

  • 27x^3 + 9x^2 – 3x – 10 = (3x -2) (9x^ 2 +9x+5)

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4 0
3 years ago
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?
alexandr1967 [171]

Answer:

The probability that the last card dealt is an ace is \frac{1}{13}.

Step-by-step explanation:

Given : A deck of ordinary cards is shuffled and 13 cards are dealt.

To find : What is the probability that the last card dealt is an ace?

Solution :

There are total 52 cards.

The total arrangement of cards is 52!.

There is 4 ace cards in total.

Arrangement for containing ace as the 13th card is 4\times 51!.

The probability that the last card dealt is an ace is

P=\frac{4\times 51!}{52!}

P=\frac{4\times 51!}{52\times 51!}

P=\frac{4}{52}

P=\frac{1}{13}

Therefore, the probability that the last card dealt is an ace is \frac{1}{13}.

4 0
3 years ago
Plz help!!
inysia [295]
<span>1. 5564÷91
I know that 9 * 6 = 56
5564 rounds to 5600
91 rounds to 9
Since 56/9 = 6, then 5600/90 is the same as 560/9 = 60
The estimate is 60

2. </span><span>5391÷25
5391 sounds to 5400
25 is 1/4 of 100.
That means when you divide by 25, you can divide by 100 and multiply by 4.
5400/100 = 54
54 * 4 = 216
Estimate: 216

3. </span><span>explain how to estimate 498÷12
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4. </span><span>which is the closest estimate for 2130÷ 33
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2130/33
Round off the numerator and denominator to
2100/30
Reduce the fraction
210/3
Since I know that 21/3 = 7, then 210/3 = 70
Estimate: 70
</span>
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3 years ago
A car takes 65.1 seconds to travel 1 mile. How long does it take the car to travel ​4.3 miles? First round to the nearest whole
Elodia [21]
279.93 ≈ 280 seconds or 4 minutes 40 seconds
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6.25+12-10.5

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7 0
3 years ago
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