 admin # Identify the pattern for the following sequence. Find the next three terms in the sequence. 5, 2, -1, -4, ____, ____, ____,... a. Subtract 3; -7, -10, -13 b. Add 3; -7, -10, -13 c. Subtract -3; 7, 10, 13 d. Add 3; 1, 4, 7 Please select the best answer from the choices provided

2 months ago

## Solution 1 Guest #6939
2 months ago
The correct answer for the completion exercise shown above is the first option (Option a), which is:

a. Subtract 3; -7, -10, -13

The explanation is shown below:

1. You have the following sequence
5, 2, -1, -4

2. The first second number is the result of a substraction:

5-3=2

3. Then you have:

2-3=-1
-1-3=-4
-4-3=-7
-7-3=-10
-10-3=-13

Therefore, the answer is the optiones mentioned before.

## Solution 2 Guest #6940
2 months ago

A.Subtract 3:-7,-10,-13

Step-by-step explanation:

We are given that a sequence

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

We have to identify  the pattern of the givens sequence and next three terms.    The difference between two consecutive terms are equal.When the difference between two consecutive terms are equal then the sequence is called arithmetic sequence.Hence, the sequence is arithmetic sequence.   ## 📚 Related Questions

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Solution 1

M arc CB=64°,M<AOC= 116° ,M arc AD=26°,M arc DFB=154°,M<CDB=32°.

Step-by-step explanation:

Measure of central angle is equal to the measure of intercepted arc .Given <COB= 64°.Hence M arc CB=64°.

<AOC= 180-64= 116°.( Angles made on a straight line is supplementary)

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It is given <ABD= 13 °.Hence intercepted arc AD =2x13=26°.

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The simple formula for the nth term of an arithmetic sequence is an = 5n + 15. What is the explicit formula corresponding to the simple formula? A. an = 15 + 5n B. an = 15 + (n - 1)(5) C. an = 20 + (n)/(5) D. an = 20 + (n - 1)(5) E. an = 5 + (n - 1)(15)
Solution 1
Sequence will look like this:
Term 1: 20 --------- 20 + 5(0)
Term 2: 25 --------- 20 + 5(1)
Term 3: 30 --------- 20 + 5(2)
Term 4: 35 --------- 25 + 5(3)
ETC.

It cab noted that the numbers in the bracket (that is, 0, 1, 2, 3, 3, etc) = n-1

Then, the explicit formula will be;
an = 20 + 5(n-1).

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I see the question last and the 4 choices first.
Look at the points you have in the table with the question.
(0, 0), (4, 2), (9, 3)
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Which sequence is modeled by the graph below? coordinate plane showing the points (1, 1) (2, 2) (3, 4) and (4, 8) a. an = 1(2)n − 1 b. an = 2(1)n − 1 c. an = 1 + (2)n − 1 d. an = (2)(n − 1)
Solution 1
The y-values of 1, 2, 4, 8 imply an exponential function of base 2. At n = 1, y = 1 = 2^0. We can substitute into the various choices to determine the correct equation, which turns out to be a_n = 2^(n-1).
Solution 2

Answer: The correct option is d.

Explanation:

From the given information it is noticed that the coordinate plane showing the points (1, 1) (2, 2) (3, 4) and (4, 8).

The coordinates are in the form of (x,y), it means the value of xth term of the sequence is y.

The point (1,1) represents that the first term is 1. Similarly from  (2, 2) (3, 4) and (4, 8) points we can say that the second term is 2, third term is 4 and fourth term is 8.

The sequence is 1,2,4,8.

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98 POINTS PLEASE HELP --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- Determine the standard form of the equation for the circle With center (h,k)=(-5,1/2) and radius r=1 A) (x-5)^2 + (y + 1/2)^2 = 1 B) (x-5) + (y - 1/2) = 1 C) (x+5)^2 + (y - 1/2)^2 = 1 D) (x+5)^5 + (y- 1/2)^2 = 105/2
Solution 1
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Hello!

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I hope it helps!

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Solution 1
Hey there

choosing a X, Y, or Z from a bag containing all letters in the alphabet.

There are 46 different  alphabets.
You have 3/46 chances
6% out of 100 of picking those letters

Solution 2
A.) it is possible to roll a number greater than 1 on a six sided number cube.  - So it is likely.

B) It is possible to roll a 1.  - So it is likely.

C) It is possible to get a heads when flipping a coin.  - So it is likely.

D) It is possible to choose a X, Y or Z from the alphabets. - So it is likely.

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