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4 years ago

What is the next number in the sequence 1, -1, 2, -2, 3

Mathematics

1 answer:

mylen [45]4 years ago

3 0

Answer:

-3

Step-by-step explanation:

There are two ways to see what the next sequence number would be in this case.

First approach, you start with the first number (1) than count every other number, which are all positive integers. You do the same starting from the second number (-1), which would then be all negative integers.

Second approach, consider 2 consecutive numbers being a single element of the series... each has a number (1,2,3) with its positive and negative values.

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5y +6z2 - y3 ; y=4 z=5

Gennadij [26K]

5(4)+6(5)^2-(4)^3
20+150-64
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4 years ago

6 cans of fruit juice cost $2.50. Ned needs to buy 72 cans for a camping trip for the Outdoor Club how much will he spend

Mrac [35]

Answer:

$30

Step-by-step explanation:

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3 years ago

Read 2 more answers

Devang has a collection of dimes and nickels that total $1.10. He has a total of 15 coins. Which matrix can be used to represent

OLEGan [10]

AX = b or $\left[\begin{array}{cc}1&1\\0.1&0.05\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}15\\1.10\end{array}\right]$

<h3>The above matrix can be used to determine the number of dimes x and nickels y.</h3>

Step-by-step explanation:

Here, total number of coins = 15

Let us assume the number of dimes = x

Also, let us assume the number of nickels = y

So, x + y = 15 .... (1)

Again, 1 dime = $0.1

So, x dimes = x ($0.1) = $ (0.1 x)

1 nickel = $0.05

So, y nickels = y ($0.05) = $ (0.05 y)

Also, total value of coins = $1.10

⇒ 0.1 x + 0.05 y = 1.10 .... (2)

So, from (1) and (2) the matrix can be written as:

AX = b or $\left[\begin{array}{cc}1&1\\0.1&0.05\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}15\\1.10\end{array}\right]$

The above matrix can be used to determine the number of dimes x and nickels y.

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3 years ago

A number cube is rolled and a coin is tossed. the number cube and the coin are fair. what is the probability that the number rol

CaHeK987 [17]

Suppose you roll a red number cube and a blue number cube. What is the probability that you will roll a 5 on the red cube and a 1 or 2 on the blue cube?

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3 years ago

A circle of radius of 4 inches has an arc length of 5.8 inches. Find the measure of the central angle.

kondor19780726 [428]

<h3>SOLUTION : </h3>

The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is $2\pi r$ . Similarly when angle is theta ,

$\implies Arc = radius \times \theta$

Now substitute respective values , from the given data ,

$\implies 5.8 inch = 4inch * \theta \\\\\implies 0.14 m = 0.1 * \theta \\\\\implies \boxed{\red{\theta \approx 1.4 \ rad }}$

This is our required answer!

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3 years ago