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Katarina [22]
3 years ago
5

Find a formula for the nth term in this arithmetic sequence. a1=0, a2=0.5, a3=1, a4=1.5

Mathematics
1 answer:
MrRissso [65]3 years ago
6 0

Answer:

nth term is;

0.5n-0.5

Step-by-step explanation:

As we can see, the first term is 0

The common difference is 0.5-0= 1-0.5 = 1.5-1 = 0.5

Formula for nth term of an arithmetic sequence is;

a + (n-1)d

So we have

0 + (n-1) 0.5

= 0.5n-0.5

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Parallel to y=2/3x+4 and goes through (-9,-2)
Ostrovityanka [42]
Hey there :)

y = \frac{2}{3}x + 4

Since this line is parallel to the line to be found, both have the same slope: \frac{2}{3}

Coordinates: ( - 9 , - 2 )

y - ( -2 ) = \frac{2}{3} ( x - ( -9 ) )
y + 2 = \frac{2}{3} x + 6
y = \frac{2}{3} x + 6 - 2

y = \frac{2}{3}x + 4


8 0
3 years ago
Read 2 more answers
What is -3(6x+4)+20x
Leona [35]

Answer:

2x - 12

Step-by-step explanation:

Given:

-3(6x+4)+20x

Distribute:

-18x-12+20x

Combine like terms:

2x-12

Hope this helps, have a nice day :))

3 0
3 years ago
Read 2 more answers
4x-5=x-1+3x I need help
labwork [276]

Answer:

x = no solutions

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

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x - 5 = x - 1 + 3x

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

  1. Combine like terms:                    4x - 5 = 4x - 1
  2. Subtract 4x on both sides:          -5 ≠ -1

Here we see that -5 does not equal -1.

∴ This equation has no solutions.

8 0
3 years ago
Evaluate x + y + z if x = 3, y = -5, and z = -2
Eduardwww [97]

x + y + z

  • Substitute the given values for x, y, and z.

(3) + (-5) + (-2)

  • Rewrite the equation.

3 - 5 - 2

  • Solve from left to right.

3 - 5 = -2

-2 - 2 = -4

<h3>Your answer is -4.</h3>
7 0
3 years ago
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