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krok68 [10]
3 years ago
13

Find an equation for the nth term of the arithmetic sequence. -13, -8, -3, 2, ...

Mathematics
1 answer:
Katena32 [7]3 years ago
8 0

Answer:

An = 5n-18

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = 2-(-3)=-3-(-8) =5      A1 =  -13

the n th term of an arithmetic sequence is :An =-13+(n-1)(5)

An = 5n -5 -13

An = 5n-18

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1399205

Step-by-step explanation:

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3 years ago
Use properties of exponents to rewrite the following expressions as a number or an exponential expression with
Lerok [7]

Answer:

[(2)^√3]^√3 = 8

Step-by-step explanation:

Hi there!

Let´s write the expression:

[(2)^√3]^√3

Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):

[(2)^(3^1/2)]^(3^1/2)

Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:

(2)^(3^1/2 · 3^1/2)

Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ

(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8

Then the expression can be written as:

[(2)^√3]^√3 = 8

Have a nice day!

7 0
3 years ago
What speed must you toss a ball straight up so that it takes 4 s to return to you? Show your work.
vekshin1
1) Type of  motion: constant acceleration.
 
2) acceleration, a = 9.8 m/s^2

3) time up = time down = 4seconds / 2 = 2 seconds

4) formula = Vf = Vo - a*t^2/2

Vf = 0 => Vo = a*t^2 / 2 = 9.8m/s^2 * (2 s)^2 / 2 = 19.6 m/s

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4 0
3 years ago
Solve the inequality -2x is less than or equal to 3x + 1 is less than or equal to 10
KatRina [158]
-2x < = 3x + 1 < = 10

split them
-2x < = 3x + 1         3x + 1 < = 10
-2x - 3x < = 1          3x < = 10 - 1
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x > = -1/5                 x < = 3

solution is : -1/5 < = x < = 3 <==
3 0
3 years ago
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Lena [83]

Answer:

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Step-by-step explanation:

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  2. Then, you divide 5 by 2, which is 2.5
  3. Therefore, the unit rate is 1 golf ball : $2.50
4 0
2 years ago
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