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A dance studio charges $17 for the first ballet class a dancer takes and $11 for each class after that.

What are the first four terms of an arithmetic sequence in which an is the total amount a dancer pays, in dollars, for taking n ballet classes?

What is the explicit rule for the arithmetic sequence?

an = + (n – 1)

Keena paid a total of $94 to take ballet classes. How many classes did she take? classes.

Respuesta :

Answer:

1)  3rd option-17,28,39,50

2) 17 and 11

3) 8 classes

Step-by-step explanation:

hope this helps

varshamittal029
  1. The first four term are 17,28,39,50
  2. The explicit rule is aₙ=a₁+(n-1)d
  3. aₙ=17+11(n-1)
  4. She will take 8 classes.

What is arithmetic sequence?

Arithmetic sequence ia a sequence where each term is increased or decreased by adding or substracting a constant from the previous term.

generally we express each term by following formula aₙ=a₁+(n-1)d

where a₁ is the first term in the sequence, aₙ is the nth term of the sequence and d is the common difference between the terms.

According to the asked question

the studion charges $17 on first day.

so a₁=17,

then they increase $11 on every day.

d=11

Then on nth day, the charges will be aₙ=17+11(n-1)

1.  The first four term will be

    a₁=17

    a₂=17+(2-1)11=28

    a₃=17+(3-1)11=39

    a₄=17+(4-1)11=50

2.  The explicit rule is aₙ=a₁+(n-1)d

3.  putting a₁=17 and d=11

    aₙ=17+11(n-1)

4. Keena paid $94 let on nth day

   so according to question

   aₙ=17+11(n-1)

   ⇒94=17+11(n-1)

   ⇒94-17=11(n-1)

   ⇒77=11(n-1)

   ⇒77/11=n-1

   ⇒7=n-1

   ⇒n=7+1

   ⇒n=8

Therefore she will take 8 classes.

Learn more about arithmetic sequence

here: https://brainly.com/question/6561461

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