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3 years ago

Is a list of numbers and each number is called a term of the sequence

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

Terms are positive or negative single mathematical expressions.

Step-by-step explanation:

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Round off 55.09 and 38.36 to the nearest tenth then add

Arte-miy333 [17]

Answer:

93.5

Step-by-step explanation:

0 and 3 are in the tenths place value

9 and 6 both increase when rounding

55.1 + 38.4 = 93.5

8 0

3 years ago

04 Name the

kirill [66]

Answer:

<h3>integers integers OK ok ok ok ok ok ok</h3>

5 0

3 years ago

Use the graph of the derivative of f to locate the critical points x0 at which f has neither a local maximum nor a local minimum

jok3333 [9.3K]

Critical points are where the derivative is 0, i.e. where it crosses the x - axis

The Critical points lies where the derivative is 0, while it crosses the x-axis, SO, in this case the choice 3 looks like best answer for this.

6 0

3 years ago

Three consecutive integers can be represented by n, n + 1, and n + 2. if the seum of three consecutive integers is 57, what are

Helen [10]

Sum means add
sum of the 3 is
n+n+1+n+2

it add to 57
n+n+1+n+2=57
3n+3=57
minus 3 both sides
3n=54
divide both sides by 3
n=15
n+1=16
n+2=17

the integers are 15,16, and 17

8 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago