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
Vesna [10]
3 years ago
11

Find the 98th term for the arithmetic sequence 3,4.2,5.4,6.6,7.8,...

Mathematics
1 answer:
prisoha [69]3 years ago
6 0
A₁ = 3
a₂ = 4.2

d = a₂ - a₁
   = 4.2 - 3
   = 1.2

a₉₈ = a₁ + d(n-1)
      = 3 + 1.2(98-1)
      = 3 + 1.2×97
      = 3 + 116.4
      = 119.4
You might be interested in
Evaluate the expression x^2 - y^2, if x = -3, and y= 2
Darina [25.2K]

\\ \rm\longmapsto x^2-y^2

\\ \rm\longmapsto (-3)^2-(2)^2

\\ \rm\longmapsto 9-4

\\ \rm\longmapsto 5

4 0
3 years ago
Solve the system of equations algebraically. Show all of your steps
Katyanochek1 [597]
I am going to explain this using the substitution method, considering it appears to be the best in this situation.

We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:

3x+20=x^2+2x

Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you

x+20=x^2

Now, we take the square root of both sides to get

rad(x+20)=x

Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes

2rad(x+5)

This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
4 0
3 years ago
Determine the nth term for each of the following sequences: 2,5,8,11,14,..
Tanya [424]
To determine the nth term, we must create a function.

f(n) = 1st term + common difference (n - 1)

n = term you are looking for
1st term = 1st number in the sequence
common difference = the difference between two consecutive numbers in the sequence.

based on the above sequence, the 1st term is 2, its common difference is 3.

f(n) = 2 + 3(n-1)

Assuming we are looking for the 5th term
f(5) = 2 + 3(5-1)
       = 2 + 3(4)
       = 2 + 12
f(5) = 14   as you can see in the above sequence 14 is the 5th term.

For any other value of the nth term, simply substitute n by the number of the term and solve the equation.
8 0
3 years ago
Plz help me well mark brainliest if you are correct!..
egoroff_w [7]

Answer:

your answer should be -4/5

6 0
2 years ago
CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!!!
grigory [225]

Answer:

5 centimetres of rainfall produced 25 million

Step-by-step explanation:

Vertex is what is being asked by the question, and those points are given in the question. Vertex form is a(x-p)^2 + q, where 5 is the x of the vertex, and 25 is the y of the vertex

3 0
3 years ago
Other questions:
  • Abigail has a green,yellow,and purple shirt to mach with either a white,black,or red pair of pants.How many different shirt and
    13·1 answer
  • Which American Indian group formed an alliance with the British as the French and Indian War began?
    7·2 answers
  • Simplify the expression. (–h4)5
    14·2 answers
  • In the diagram, segments AD and AB are tangent to circle C. Solve for x.
    12·2 answers
  • There are nine kids in a class. When any two meet, each says "hi" to the other and the answer "hi" follows. Before the class sta
    13·1 answer
  • Which of these number sentences is not true
    5·1 answer
  • Two smoothies and an ice cream cone cost $7.50. Three smoothies and two ice cream cones cost $12. Calculate the cost of a smooth
    15·1 answer
  • Refer to the equation 2x − 6y = 12.
    10·1 answer
  • Factor 54-12 with GCF
    5·1 answer
  • MAth problem <br> Need help asap please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!