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ElenaW [278]
3 years ago
12

Tell whether the sequence is arithmetic. If it is, identify the common difference and write the explicit formula. Please show de

tailed steps: 2, -1, 5,-4,......
Mathematics
1 answer:
NISA [10]3 years ago
5 0

Answer: The sequence is not Arithmetic.

Step-by-step explanation:

It is important to remember that,  by definition, a sequence is Arithmetic when the difference between each term is constant (this difference is called the "Common difference" as it is represented with "d")

Knowing this and given the following sequence provided in the exercise:

2, -1, 5,-4,...

You need to find the differences of the consecutive terms. You get that:

-1-2=-3\\\\5-(-1)=6\\\\-4-5=-9

Therefore, since the differences between the consecutive terms is not constant, you can conclude that the given sequence is not Arithmetic.

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The difference between the squares of two consecutive numbers is 23. what are the two numbers?
Ksju [112]

(x+1)^2-x^2=23

x^2+2x+1-x^2=23

2x+1=23

2x=22

x=11

11^2 = 121

x+1 =12

12^2=144

144-121 = 23

4 0
3 years ago
What is the exact value of x? 5⋅21^5x=16
IRINA_888 [86]

Answer:

x=  16 /20420505

Step-by-step explanation:

Let's solve your equation step-by-step.

5(215)x=16

Step 1: Simplify both sides of the equation.

20420505x=16

Step 2: Divide both sides by 20420505.

20420505x /20420505  =  16 /20420505

x=  16 /20420505

4 0
2 years ago
11,11,11,12,12,13,14,14,15 find the median
makvit [3.9K]

the median out of the data set is.

<u><em>12.</em></u>

to find the median, you have to,

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middle-most numbers.


6 0
3 years ago
Which quadratic function has a vertex at (-1,4) and is translated up 4, translated left 1, and compressed horizontally?​
myrzilka [38]

Answer:

Angles

Step-by-step explanation:

6 0
3 years ago
1-5x + 3y 45<br>2x+3y = 24​
Norma-Jean [14]

Answer:

The answer is 1-5x+135y

Step-by-step explanation: multiply the numbers 3 and 45 which give you 135

3 0
3 years ago
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