All categories

2 years ago

Find an equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, ...

Mathematics

2 answers:

liq [111]2 years ago

5 0

Common difference = -16-(-20) = 4
nth term = -20+(n-1)4

Elza [17]2 years ago

3 0

Answer:

-4

Step-by-step explanation:

that is the nth termmmmm

You might be interested in

HELLLLLP MEHHHHHHHH PLSSSSSSS

Wewaii [24]

Answer:

They both have the same range

Step-by-step explanation:

375-175=200

400-200=200

3 0

2 years ago

Read 2 more answers

A water balloon is thrown out of a window 96 feet above the ground. The balloon is traveling downward at 16 feet per second init

gulaghasi [49]

It hits the ground at h=0

0=-16t^2-16t+96
undistribute -16
0=-16(t^2+t-6)
factor
0=-16(t-2)(t+3)
set to zero
0=t-2
2=t

t+3=0
t=-3, nope, we can't have negative time

at t=2, or 2 seconds

7 0

3 years ago

Read 2 more answers

The domain is ? The range is ?

DIA [1.3K]

This is a quadratic equation, which is also a polynomial. Polynomials all have the domain (-infinity, +infinity).

As for the range: You can see from the graph that the smallest y-value is -2. Thus, the range is [-2, infinity).

4 0

3 years ago

Show work and explain with formulas.

Juli2301 [7.4K]

20 Answer: a₁ = 4

Step-by-step explanation:

$a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1$

21 Answer: n = 13

Step-by-step explanation:

$a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n$

22 Answer: n = 5

Step-by-step explanation:

$a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n$

6 0

3 years ago

Read 2 more answers

I just need someone to check my answers, I did all the work but I'm not sure even though I checked my work 3 times but that's no

Lisa [10]

Answer:

yea in my opinon u are right but im not a expert in math.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers