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oksano4ka [1.4K]
3 years ago
11

What is the common difference of the following arithmetic sequence?

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer:

d = -1000

Step-by-step explanation:

-2000 - (-1000) = -1000

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One serving of chad's cereal is 1 1/4 ounces. How many servins are in 15 1/3 ounces box?
IrinaK [193]

12

change the mixed numbers to improper fractions before dividing

1 \frac{1}{4} = \frac{5}{4} and 15 \frac{1}{3} = \frac{46}{3}

divide contents of box by a serving

\frac{46}{3} ÷ \frac{5}{4}

change ÷ to × and turn the second fraction upside down

= \frac{46}{3} × \frac{4}{5}

= \frac{184}{15} = 12.26666 = 12 complete servings



5 0
3 years ago
The explicit rule for a sequence is an=5(−2)^n−1
Murrr4er [49]

Answer:

3) a_n=-2a_{n-1}, a_1=5

Step-by-step explanation:

Given that the explicit rule for a sequence is a_n=5(-2)^{n-1}.

Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.

1) a_n=-2a_{n+1}, a_1=5

2) a_n=-5a_{n+1}, a_1=2

3) a_n=-2a_{n-1}, a_1=5

4) a_n=-5a_{n-1}, a_1=2

Plug n=1 into given formula to get first term

a_n=5(-2)^{n-1}

a_1=5(-2)^{1-1}=5(-2)^{0}=5(1)=5

base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term

Hence correct choice is: 3) a_n=-2a_{n-1}, a_1=5

7 0
3 years ago
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the b
mr_godi [17]

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

3 0
2 years ago
-6y+y2+3-4y2-7+1-4y<br> Please help
vaieri [72.5K]
-6y+y2+3-4y2-7+1-4y in simplified form is -10y-3y^2-3
5 0
2 years ago
Can someone solve this problem
mina [271]

Answer:

y = -2x + 5

Step-by-step explanation:

slope-intercept form: y = mx + b

Hope this helps:)

5 0
2 years ago
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