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
Zielflug [23.3K]
3 years ago
14

Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive

Mathematics
1 answer:
navik [9.2K]3 years ago
8 0

Answer:

The explicit formula

a_n = 3 +0.25 (n-1)

The recursive formula

a_1 = 3                            for n=1

a_n = a_ {(n-1)} +0.25     if n>1

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

a_n = a_1 + d (n-1)

Where d is the constant difference between the terms.

d = 0.25

a_1 is the first term of the sequence.

a_1 = 3

So

a_n = 3 +0.25 (n-1)

Finally, the recursive formula is:

a_1 = 3\\\\a_n = a_ {(n-1)} +0.25

You might be interested in
Goran made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces
Tema [17]
    6b + 6p = 33.60              ; b=2.90

6(2.90) + 6p = 33.60

17.40 + 6p = 33.60
-17.40           -17.40

    6p = 16.20
     /6         /6

      p = 2.70

ANSWER: each pendant costs $2.70
5 0
3 years ago
patty is building a rope ladder for a tree house. she needs two 5-foot pieces of rope for th esides fo the ladder. she needs 7 p
olga nikolaevna [1]
8 because 8comes after 5 and 7
3 0
2 years ago
What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning
stellarik [79]

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.

8 0
3 years ago
A farmer has 140 bushels of wheat to sell at his roadside stand. He sells an average of 14 bushels
Levart [38]

Answer:

140-(14×7)=42

Step-by-step explanation:

if he sells 14 each day for 7 days. thats 14-7=98 and to find how many he has left, you have to subtract 98 from 140

7 0
3 years ago
A and b are positive integers. Find <img src="https://tex.z-dn.net/?f=-2a%2B3b" id="TexFormula1" title="-2a+3b" alt="-2a+3b" ali
lord [1]

A could be 2 while B could be 3, so -2a+3b turns into -4+9, which equals 5.

From what I know you can't really solve a a single equation with two-variables so it's just a matter of trial and error.

Just try plugging in a small number like 2 for a just to try it and you get 8b^2=72.

Divide everything by 8 to isolate b and you get that b^2=9.

Square root everything and you'll find that b=3. This is just one possible combination, I'm sure there are many more but this is obviously the one that was intended to be found.

Now that we know that a=2 and b=3 just plug them into the equation.

-2(2)+3(3)=?

-4+9=?

5

Sorry about having to use this ^ symbol, the equation maker is not working.

7 0
3 years ago
Other questions:
  • The table shows the number of students in a class who have allergies and/or have asthma:
    15·2 answers
  • Factor 9x 6 – 16y 6 completely.
    15·1 answer
  • What is the answer to the equation 13=1/6y + 2x
    15·1 answer
  • Abdul rolls a fair six-sided die and a fair four-sided die simultaneously. The sample space of all possible
    5·1 answer
  • Another easy one
    6·1 answer
  • Which of the following systems of inequalities has Point C as a solution?
    9·1 answer
  • 12x² + 2x² – 30x – 5
    13·1 answer
  • Find the value of $x$ for the right triangle. A right triangle with base labeled x and hypotenuse labeled 12 units. Angle betwee
    14·1 answer
  • You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the x hours yo
    15·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST PLEASE 20 POINTS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!