The diagram shows how data demand increases with data variety and complexity.

Consider the sequence of numbers: 3/8, 3/4, 1 /18, 1 1/2, 1 7/8

vredina [299]

Question:

Consider the sequence of numbers: $\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Which statement is a description of the sequence?

(A) The sequence is recursive, where each term is 1/4 greater than its preceding term.

(B) The sequence is recursive and can be represented by the function

f(n + 1) = f(n) + 3/8 .

(C) The sequence is arithmetic, where each pair of terms has a constant difference of 3/4 .

(D) The sequence is arithmetic and can be represented by the function

f(n + 1) = f(n)3/8.

Answer:

Option B:

The sequence is recursive and can be represented by the function

$f(n + 1) = f(n) + \frac{3}{8} .$

Explanation:

A sequence of numbers are

$\frac{3}{8}, \frac{3}{4}, 1\frac{1}{8}, 1\frac{1}{2}, 1\frac{7}{8}$

Let us first change mixed fraction into improper fraction.

$\frac{3}{8}, \frac{3}{4}, \frac{9}{8}, \frac{3}{2}, \frac{15}{8}$

To find the pattern of the sequence.

To find the common difference between the sequence of numbers.

$\frac{3}{4}-\frac{3}{8}=\frac{6}{8}-\frac{3}{8}= \frac{3}{8}$

$\frac{9}{8}-\frac{3}{4}=\frac{9}{8}-\frac{6}{8}= \frac{3}{8}$

$\frac{3}{2}-\frac{9}{8}=\frac{12}{8}-\frac{9}{8}= \frac{3}{8}$

$\frac{15}{8}-\frac{3}{2}=\frac{15}{8}-\frac{12}{8}= \frac{3}{8}$

Therefore, the common difference of the sequence is 3.

That means each term is obtained by adding $\frac{3}{8}$ to the previous term.

Hence, the sequence is recursive and can be represented by the function $f(n + 1) = f(n) + \frac{3}{8} .$

3 0

3 years ago

10) -15xy + 25x ????????????????????

Ierofanga [76]

Factor (−15x)(y)+25x

−15xy+25x

=5x(−3y+5)

Answer:

5x(−3y+5)

6 0

3 years ago

the cost C (in dollars) of making n watches is represented by C = 15n + 85. How many watches are made when the cost is $385?

liberstina [14]

20 watches are made since 385 = 15n + 85. 385 - 85 is 300 and 300 divides by 15 is 20.

4 0

3 years ago

Read 2 more answers

The contents of Dana's box of muffins is shown.

TiliK225 [7]

3/5 would be the answer because every 3 banana nut here is 5 corn

6 0

3 years ago

A class has 18 students. the teacher asks how many students in the class have pets and find 5/9 of students have pets. how many

adell [148]

Here is the answer to the given question above. Given that there are a total of 18 students and 5/9 of the students have pets, let us divide 18 by 9 to see how many students have pets. So the answer would be 2. Since it is 5 out of 9, we multiply 2 by 5 and we get 10. Therefore, the answer is 10 students. Hope this answer helps.

7 0

4 years ago