1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FrozenT [24]
3 years ago
13

Write the explicit rule for the nth term. Then find the 112th term. {15, 5, -5, -15...}

Mathematics
2 answers:
Papessa [141]3 years ago
8 0

Answer:

I believe the answer is 121.

Step-by-step explanation:

Formula: (a)n = a + (n - 1)d

(a)n = nth Term of the Sequence

a = First Term in the Sequence

d = Common Difference

112th = 15 + (112 - 1)-5

112th = 15 + 111 - 5

112th = 121

lutik1710 [3]3 years ago
3 0

Answer:

Step-by-step explanation:

{ 15, 5, -5, -15...}

the rule is

a_{1} = 15, a_{n} = a_{n-1} -10

the 112th term

a_{112} = a_{1} + (n-1) *d\\\\a_{112} = 15 + (112 -1) * (-10)\\\\a_{112} = 15 - 1110\\\\a_{112} = -1095

You might be interested in
In Exercise, find the derivative of the function.<br> y = 3ex - xex
nevsk [136]

Answer:

the question is incomplete, the complete question is "find the derivative of the function y=3e^{x}-xe^{x}"

answer: \frac{dy}{dx}=(2-x)e^{x}.

Step-by-step explanation:

From the equation,  y=3e^{x}-xe^{x}, we approach the question using the differentiation of a product and differentiation of a sum simultaneously,

the differentiation of a sum is express as

f(x)=u(x)+v(x)+.....w(x) then

\frac{df(x)}{dx}=\frac{du(x)}{dx}+\frac{dv(x)}{dx}+...\frac{dw(x)}{dx}.\\

For the differentiation of a product we have

 f(x)=u(x)v(x), then

\frac{df(x)}{dx}=\frac{dv(x)}{dx}u(x)+\frac{du(x)}{dx}v(x)

hence if we go by the formula we arrive at

for   y=3e^{x}

let u(x)=3 hence du/dx=0 and

v(x)=e^{x} and \frac{dv(x)}{dx}=e^{x}

hence \frac{dy}{dx}=3e^{x}+0e^{x}\\\frac{dy}{dx}=3e^{x}---equation 1\\

Also for y=-xe^{x}\\\frac{dy}{dx}=-e^{x}-xe^{x}---equation 2.

if we add equation 1 and equation 2 we arrive at

\frac{dy}{dx}=3e^{x}-e^{x}-xe^{x}\\\frac{dy}{dx}=(3-1-x)e^{x}\\\frac{dy}{dx}=(2-x)e^{x}.

4 0
3 years ago
PLEASE HELP ME OUT !!!!
mote1985 [20]

Answer:

to find the value of x u would have to multiply the numbers in the equation and then u will get ur answer.

Step-by-step explanation:

I hope this helps

5 0
3 years ago
The length of the track at talladega superspeedway is 2.66 miles. If the race is 188 laps long , how many kilometers do the driv
Bess [88]

Answer:

Step-by-step explanation:

5 0
3 years ago
How can 85% be broken down with friendly percents to find 85% of a number?
viktelen [127]

Answer:

it would be  C

Step-by-step explanation:

5(10%)+25%

5 0
3 years ago
A city has a population of 72000 people the population is growing at a rate of 3.4% each year. Which function can be used to fin
dsp73

Answer: A = 72000(1.034)^8  

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = initial population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

A = 72000 (1+ 3.4/100) ^8

A = 72000(1.034)^8  

Feel free to ask for more if needed or if you did not understand something

5 0
3 years ago
Other questions:
  • What is the volume of a prism which has a base of 5m by 3m and height of 4m
    11·1 answer
  • Choose the answer that represents the highest unit rate for these basketball statistics.
    8·1 answer
  • Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the dif
    10·1 answer
  • What is the answer for 7/9 + 1/7 + 3/5
    11·2 answers
  • PLEASE HELP ME!!! WILL GIVE BRAINLIEST! PLEASE IT SHOULD BE EASY FOR SOMEONE WHO ISNT SUPER SICK!!
    8·2 answers
  • Daniel writes 0.4 &lt;0.13 "because 4 is less than 13." Ex-
    15·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • Which of the expressions below is equivalent to 4x^2 / 12x^2-4??<img src="https://tex.z-dn.net/?f=%3A%204x%5E2%2F%2012x%5E2%20-%
    8·1 answer
  • Please Help Me Please​
    14·1 answer
  • A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!