Ask question

Ask question

All categories

3 years ago

6

Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?

1 answer:

kkurt [141]3 years ago

8 0

$\bf 7~~,~~\stackrel{7-4}{3}~~,~~\stackrel{3-4}{-1}~~,~~\stackrel{-1-4}{-5}~~,~~\stackrel{-5-4}{-9}~~,~~...$

so namely, the "common difference" d = -4, and the first term a₁ = 7.

$\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=-4\\
a_1=7
\end{cases}
\\\\\\
a_n=7+(n-1)(-4)\implies a_n=7+(4-4n)
\\\\\\
a_n=11-4n\implies a_n=-4n+11$

You might be interested in

ASAP Please answer fast!!!!!!

leonid [27]

The difference between relation and function is described

<em><u>Solution:</u></em>

Let us first understand about relation and function

A relation is a set of inputs and outputs that are related in some way.

When each input in a relation has exactly one output, the relation is said to be a function.

To determine if a relation is a function, we make sure that no input has more than one output

Every function is a relation ,but every relation doesn't represent a function

<em><u>Example:</u></em>

R = {(2, x), (9, y), (2, z)}

It is not function as “2” is input for both x and z

F = {(2, x), (9, y), (5, x)} is a function because all the first elements are different.

<em><u>Differences:</u></em>

<em><u>Relation:</u></em>

A relation is a relationship between sets of values

A relation is denoted by “R”

Every relation is not a function.

<em><u>Functions:</u></em>

A function is a relation in which there is only one output for each input.

A function is denoted by “F” or “f”

Every function is a relation.

7 0

3 years ago

Choice the correct answer

PSYCHO15rus [73]

Answer:

wheres A

Step-by-step explanation:

8 0

2 years ago

A triangle has side lengths of 10, 11, and 15. What type of triangle is it? Procedure: 102 ?? 112 + 152 100 ?? 121 + 225 100 &lt

stepladder [879]

<span> The triangle seems to be a scalene triangle because all three of its sides are different. </span>

3 0

3 years ago

Solve for x by completing the square: x2 - 12x + 11 = 0

sineoko [7]

Answer:

B

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± $\sqrt{25}$ = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

6 0

2 years ago

Jadyn prepares a bag of candy before a road trip. The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour

kipiarov [429]

Given condition is- The bag contains individual pieces of Skittles, M&Ms, Life Savers and Sour Patch Kids.

Let the total number of candies in the bag be = x

Then, Skittles are $\frac{1x}{2}$

Candies left = $x-\frac{x}{2}$ = $\frac{x}{2}$

M&Ms are = $\frac{1x}{8}$

Now remaining candies are= $\frac{3x}{8}$

Now Life savers are = $\frac{9x}{32}$

Now adding all these 3 candies

$\frac{x}{2}+ \frac{x}{8}+\frac{9x}{32}$

= $\frac{29x}{32}$

Now the remaining candies sour patch will be =

$x-\frac{29x}{32} =\frac{3x}{32}$

Hence, sour patch kids are $\frac{3}{32}$

3 0

3 years ago