Mathematics, 18.03.2020 19:01 ariellake8551

Help please! :)
Which of the following is an arithmetic sequence?
A. 2, 5, 10, 15, ...
B. 3, -3, 3, -3, 3, ...
C. 1, 5, 25, 625, ...
D. -4, -7, -10, -13, -16, ...

Answers: 2

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Answer from: kmwise19

Step-by-step explanation: An arithmetic sequence is a pattern in which the same number is repeatedly added which means that the difference between consecutive terms is constant and this is referred to as the common difference.

A. would not be an arithmetic sequence because the difference between the terms is not the same. For example, the difference between 2 and 5 is 3 and the difference between 5 and 10 is 5.

B. would not be an arithmetic sequence for the same reason as the first choice. The difference between the terms is not the same.

C. would not be an arithmetic sequence for the same reason as the first and second choices. The difference between the terms is not the same.

D. would be an arithmetic sequence because we add the same number to reach the next term in the sequence.

So to get from -4 to -7, we add -3. to get from -7 to -10, we add -3. To get from -10 to -13, we add -3 and so on.

Answer from: RickyGotFanz4867

Step-by-step explanation:

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

Answer from: Quest

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

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Help please! :)
Which of the following is an arithmetic sequence?
A. 2, 5, 10, 15, ......

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