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3 years ago

The first three terms of an arithmetic sequence are as follows.

Mathematics

1 answer:

Montano1993 [528]3 years ago

4 0

Answer:

The next two terms and 5 and 8.

Step-by-step explanation:

Find the recursive formula (tₙ = tₙ₋₁ + d) of -4, -1, 2.

Arithmetic sequences have a common difference, "d" , between terms.

To find the common difference, subtract a term value from the term value after it.

-1 - -4 = 3

2 - -1 = 3

The common difference is 3.

To find the next term, add 3 to the previous term.

The recursive formula is tₙ = tₙ₋₁ + 3

tₙ = tₙ₋₁ + 3

t₄ = t₃ + 3

t₄ = 2 + 3

t₄ = 5

tₙ = tₙ₋₁ + 3

t₅ = t₄ + 3

t₅ = 5 + 3

t₅ = 8

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Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x −

scoundrel [369]

Answer:

Step-by-step explanation:

We take a look at this expression: $49x^2-9$ and notice that both terms are square numbers. $49x^2=(7x)^2$ and $9=3^2$ .

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares $a^2-b^2$ , it can always be factored into $(a+b)(a-b)$ .

Here, we can apply that. In this case, a = 7x and b = 3. So:

$49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)$

Thus, the answer is A.

Hope this helps!

6 0

3 years ago

Read 2 more answers

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm

maria [59]

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula: $\pi*r^2$

Since the radius (r) is 2 and $\pi$ is 3.14, you have the following equation:

A = 3.14 * 2² ==> A = 3.14 * 4 ==> A = 12.56 <em>(A is Area)</em>

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

7 0

3 years ago

Q = {1.7, 1.1, 1.4, 2.1, 2.3, s}. What is the absolute difference between the greatest and least possible values of the median o

Daniel [21]

Answer:

Absolute difference between the medians = 0.35

Step-by-step explanation:

After arranging Q in ascending order excluding s, we get

Q = {1.1, 1.4, 1.7, 2.1, 2.3}

Here, the median is 1.7 ( The middlemost value is the required median.)

Now, if s < 1.7,

Q= {1.1, s, 1.4, 1.7, 2.1, 2.3}

Now for the least value, median = 1.55

If s > 1.7,

Q = {1.1, 1.4, 1.7, 2.1, s, 2.3}

Now for the greatest value, median = 1.9

Absolute difference between the medians = |1.9 -1.55|

= 0.35

6 0

3 years ago

The science club advisor expects that between 42 and 49 students will attend Science Club field trip. The school allows $5.50 pe

baherus [9]

Answer:

$269.50

Step-by-step explanation:

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Finally that measn the budget for the food is $269.50

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3 years ago

The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opinions on a variet

stealth61 [152]

Answer:

Step-by-step explanation:

a. The sample size for the poll would be at most 10% of the total readers of the tennessean.

b. Categorical data...data collected in groups or categories.

c. Yes it would make more sense to use percentages as this gives a better estimate for proportion.

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3 years ago