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lara31 [8.8K]
2 years ago
12

Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?

Mathematics
2 answers:
vredina [299]2 years ago
7 0
A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n
icang [17]2 years ago
5 0

Answer:

Option (b) is correct.

The general term of the sequence is 2n

Step-by-step explanation:

Given : The  sequence 2, 4, 6, 8, 10, . . .

We have to find the representation of the general term of the given sequence 2, 4, 6, 8, 10, . . .

Consider the given sequence 2, 4, 6, .....

The general term of an arithmetic sequence is given by a_n=a+(n-1)d

where, a = first term

d is common difference

For the given sequence a = 2

and d = 2

Then a_n=2+(n-1)2=2+2n-2=2n

Thus, The general term of the sequence is 2n

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Form a sequence that has two arithmetic means between -1 and 59.
9966 [12]

Answer:

Correct choice is B

Step-by-step explanation:

For the numbers -1 and 59, find the difference 59-(-1):

since 59-(-1)=60 and \dfrac{60}{3}=20 (two arithmetic means tells you there will be three intervals), two arithmetic means will be

  • -1+20=19;
  • 19+20=39.

The only correct sequence is -1, 19, 39, 59.

7 0
3 years ago
Read 2 more answers
an amusement park it's admission price to $15.50 per day, but now charges $1.50 per ride mark has 26 to spend on admission and r
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

26-$15.50=10.5

10.5/1.5=7

he can ride 7 rides in one day

7 0
2 years ago
Find a vector of magnitude 3 in the direction of v = 10i - 24k. The vector is Oi-Oj+k (Simplify your answer. Use integers or fra
Soloha48 [4]

Given :

A vector v = 10i - 24k.

To Find :

A vector of magnitude 3 in the direction of v = 10i - 24k.

Solution :

Unit vector in the direction  of vector v is :

\^{v}=\dfrac{v}{|v|}\\\\\^{v}=\dfrac{10i-24k}{\sqrt{10^2+24^2}}\\\\\^{v}=\dfrac{10i-24k}{26}

Now , vector of magnitude 3 in direction v is :

r=3 \^{v}\\\\r=3\times \dfrac{ (10i-24k)}{26}\\\\r=\dfrac{3}{13} (5i-12k)

Hence , this is the required solution .

6 0
2 years ago
Sienna has $8 and is saving $3 per week. Jacob has $6 and is saving $4 per week. Which model represents the equatio
poizon [28]

Let the amount saving by Sienna and Jacob be x

Sienna has $8 and is saving $3 per week

So the equation will be 3x + 8

Jacob has $6 and is saving $4 per week

So the equation will be 4x + 6

Sienna will have same amount as Jacob, so

3x + 8 = 4x + 6

So the model two will represents the equation that Sienna will have same amount as Jacob.

5 0
2 years ago
Read 2 more answers
Solve the equation for x^2=<br> 625
docker41 [41]

Answer:

x = ±25

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Multiple Roots

Step-by-step explanation:

<u>Step 1: Define</u>

x² = 625

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Square root both sides:                    x = ±25

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

x = -25

  1. Substitute in <em>x</em>:                    (-25)² = 625
  2. Exponents:                          625 = 625

Here we see that 625 does indeed equal 625.

∴ x = -25 is a solution to the equation.

x = 25

  1. Substitute in <em>x</em>:                    25² = 625
  2. Exponents:                          625 = 625

Here we see that 625 does indeed equal 625.

∴ x = 25 is a solution to the equation.

8 0
3 years ago
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