All categories

3 years ago

A certain arithmetic sequence has this explicit formula for the nth term:

Mathematics

2 answers:

Margaret [11]3 years ago

6 0

The number 6 could replace the gap :)

Alex787 [66]3 years ago

5 0

Answer:

Answer is 6

Step-by-step explanation:

Given that there is an arithmetic sequence and has an explicit formula for the nth term as

$a_n =13+(n-1)6\\$

Since n can be any natural number, let us substitute n =1 to find the I term

$a_1 = 13+(1-1)6=13$

Let us find the 2nd term by substituting n=2

$a_2 =13+(2-1)6=19$

Common difference = d= $a_2-a_1=19-13=6$

Hence from I term a and common difference d, we find the any term can be obtained by adding 6 to the previous term

i.e. $a_n=a_{(n-1) +6}$

6 is the answer

You might be interested in

For 3x2 - 4x+ 1, match the following:

Usimov [2.4K]

Constant: 1

Degree: 2

Coefficient : 3 and -4

Algebraic expression: $3x^2-4x + 1$

Variable : x

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

<em><u>Given expression is:</u></em>

$3x^2-4x + 1$

We have to find the constant, degree, coefficient , algebraic expression and varibale

<h3><u>Constant:</u></h3>

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number like 1, 2

In the given expression, constant is 1

<h3><u>Degree:</u></h3>

The largest exponent the variable has in a polynomial with one variable

In the given expression, largest exponent is 2

Thus degree of polynomial is 2

<h3><u>Coefficient:</u></h3>

The coefficients are the numbers that multiply the variables or letters

In $3x^2-4x + 1$ , coefficients are 3 and -4

<h3><u>Algebraic expression:</u></h3>

An algebraic expression is a mathematical expression that consists of variables, numbers and operations.

Here the algebraic expression is:

$3x^2-4x + 1$

<h3><u>Variable:</u></h3>

The letters x, y, and z are common generic symbols used for variables.

Thus the variable in given expression is x

3 0

2 years ago

HELP PLS. Due in 10 mins

sertanlavr [38]

Answer:

1. Linear

2. Not Linear

3. Linear

4. Linear

Step-by-step explanation:

<u>Function 1</u>

Linear, follow a sequence of 4, 3

<u>Function 2</u>

Not Linear, does not follow a sequence

<u>Function 3</u>

Linear, follow a sequence of 1, 0

<u>Function 4</u>

Linear, follow a sequence of 3, -1

7 0

2 years ago

A chef bought 4 1/6 ponds of carrots. If he later bought another 2 4/7 pounds of carrots, what is the total weight of carrots he

alisha [4.7K]

4 1/6 = 4 7/42
2 4/7 = 2 24/42
2 24/42 + 4 7/42 = 6 31/42
6 31/42 = 283/42

5 0

3 years ago

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build

Svetlanka [38]

We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse

x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x

x^2+36=100 Square each individual term

x^2+=100+36 Subtract 36 from both sides

x^2=64 Combine like terms

sqrt(2)=sqrt(64) Take the square root of both sides

x = 8 Simplify the square root

So our answer is x = 8
The ladder touches the 8 feet mark on the wall.

5 0

3 years ago

Paige, a 25% shareholder in an s corporation, had a stock basis of $10,000 at the beginning of the year. the corporation had ord

ElenaW [278]

Check google for the answer

5 0

3 years ago