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2 years ago

A sequence has a second term of 1 and a common difference of -3. The fifth term of the sequence is _____. -11 -8 -5 10

Mathematics

2 answers:

kondor19780726 [428]2 years ago

5 0

Answer:

- 8

Step-by-step explanation:

The terms in an arithmetic sequence ar

a, a + d, a + 2d, ...... , a + (n - 1)d

Each term in the sequence is obtained by adding the common difference (d) to the previous term, that is

a₂ = 1

a₃ = a₂ + d = 1 - 3 = - 2

a₄ = a₃ + d = - 2 - 3 = - 5

a₅ = a₄ + d = - 5 - 3 = - 8

guapka [62]2 years ago

4 0

Answer:

-8

Step-by-step explanation:

Let the sequence be X.

Xn=a+(n-1)*d

where, n: nth term

a: first term

d: common difference

Given, X2=1

Then, 1=a+(2-1)*-3

or,a=1+3=4

So,X5=4+(5-1)*-3

or,X5=4+(4*(-3))

or,X5=4-12=-8

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2 years ago

A college professor reports that students who finish exams early tend to get better grades than students who hold on to exams un

s344n2d4d5 [400]

Answer:

The correlation between exam score and amount of time spent on the exam is an example of a <u>negative correlation</u>.

Step-by-step explanation:

Consider the provided statement.

College professor reports that students who finish exams early tend to get better grades than students who hold on to exams until the last possible moment.

That means the student who finish the exam early will get the highest marks. One who finish after the first student will get second highest mark and the one who finish in the end will get the least marks.

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2 years ago

Use the substitution method to solve the system of equations choose the correct ordered pair

Gekata [30.6K]

Answer:

C. (4,28)

Step-by-step explanation:

The substitution method requires you to input a specified number in place of a variable. In this case, the variable 'x' should be replaced by the number 4. Using the order of operations, we know that multiplication should be applied before subtraction. When we replace 'x' with 4, we get the equation 'y=8(4)-4'. Multiplying 8 and 4 gives us 32. If we subtract 4 from 32, we get 28. The answer ends up being 'y=28'.

That is the first part of our solution. What we are actually looking for is an ordered pair. We know ordered pairs are written in the form (x, y). First, we need to find the 'x'. The 'x' has been given to us from the beginning, it is 4. Next is the 'y'. This is what we needed to find using substitution. We ultimately concluded that the 'y' is equivalent to 28. Therefore our ordered pair is (4, 28), the letter choice C.

I hope this helped you and that I clearly elaborated on the answer choice.

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