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
jekas [21]
3 years ago
8

The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next tw

o terms is a multiple of 3, no matter what the value of m. ​
Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

S

ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .

Step-by-step explanation:

You might be interested in
Find the general (explicit) solution to the differential equation: dy dx = y4 cos x
Levart [38]
Try this solution:dy/dx=y⁴cosx; y⁻⁴dy=cosxdx;  \int\ {y^{-4}} \, dy= \int\ {cosx} \, dx;- \frac{1}{3y^3}=sinx+C; \ =\ \textgreater \  \ y^3=-  \frac{1}{3sinx+C}

5 0
3 years ago
A recent kellogg survey shows that approximately 34% of americans eat breakfast. suppose alex takes a random sample of four amer
vlabodo [156]

This kind of experiments are ruled by Bernoulli's formula. If you have probability p of "success", and you want k successes in n trials, the probability is


\binom{n}{k}p^k(1-p)^{n-k}


It's easier to compute the first probability by difference: instead of computing the probability of the event "at least one of the surveyed eats breakfast", let's compute the probability of its contrary: none of them eats breakfast. So, we want 0 successes in 4 trials, with probability of success 0.34. The formula yields


\binom{4}{0} 0.34^0 0.64^4 = 0.64^4 \approx 0.17 = 17\%


Since the contrary has probability 17%, our event "at least one of the surveyed eats breakfast" has probability 83%.


As for the second question, the event "at least three of the surveyed eats breakfast" is the union of the events "exactly three of the surveyed eats breakfast" and "exactly four of the surveyed eats breakfast". So, we just need to sum their probabilities:


\binom{4}{3} 0.34^3 0.64^1 +\binom{4}{4} 0.34^4 0.64^0 = 4\cdot  0.34^3 0.64 + 0.34^4 \approx 0.11 = 11\%

3 0
3 years ago
______% of 200 miles is 150 miles.
Genrish500 [490]

Answer:

75%

Step-by-step explanation:

150/200 × 100 =75

6 0
3 years ago
Read 2 more answers
AAAAAAAAAAAAAAAAAAAAAAA wdjewkhfewhjfuhegkufygqe ANSWER
nikklg [1K]

Answer:

(8+t)^2-6 when t=2

Step-by-step explanation:

1: (8+2)^2-6

2: (10)^2-6

3: 100-6

4: 94

6 0
3 years ago
Can Someone Help Me Please​
krek1111 [17]

Answer:

Step-by-step explanation:

3 2/5=17/5

1 1/10=11/10

now remember if you divide 2 fractions, you will multiply the first with the reciprocal

17/5  x  10/11 =34/11= 3 1/11

3 0
3 years ago
Read 2 more answers
Other questions:
  • Estimate the sum of 23 and 71
    6·2 answers
  • China's area is about 3.7 million square miles. It is on the continent of Asia, which has an area of about 17.2 million square m
    10·1 answer
  • Easton and Eli go to the movie theater and purchase refreshments for their friends.
    9·1 answer
  • Twice a number (x) is less than 12 plz helpp
    8·2 answers
  • Need help with this one.
    6·2 answers
  • Does the following table represent a function? Explain
    15·1 answer
  • Mia is planting a flower garden.The table shows the type of flower bulbs planter.What is the ratio of daisy bulbs to total bulbs
    15·1 answer
  • How many different four letter alarm codes cam be formed for a house alarm if you can use any uppercase letter in the alaphabet
    11·1 answer
  • In American football, each team has 11 players on the field at one time. The specific role that a player takes on the field is c
    15·1 answer
  • Your round-trip drive to work is 4 times 3 divided 10 miles. How many miles do you drive to and from work in 3 days?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!