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A tank is being filled with water at a rate of 5.5 gallons per
minute. Write the first five terms of the arithmetic sequence
being represented after each minute if the tank started with
10 gallons of water.

Respuesta :

fieryanswererft

Arithmetic sqaure: a + (n-1) * d

              where "a" is the first term, "d" is the common difference

Here given:

a = 10 gallons

d = 5.5 gallons

  • nth term: 10 + (n-1) * 5.5

Solve for first 5 terms:

10 + (1-1) * 5.5 = 10

10 + (2-1) * 5.5 = 15.5

10 + (3-1) * 5.5 = 21

10 + (4-1) * 5.5 = 26.5

10 + (5-1) * 5.5 = 32

first five terms: 10, 15.5, 21, 26.5, 32
  • First term=a=10
  • common difference a=5.5

General formula

  • a_n=a+(n-1)d
  • a_n=10+(n-1)5.5

So

  • a_1=10
  • a_2=10+5.5=15.5
  • a_3=10+11=21
  • a_4=10+16.5=26.5
  • a_5=10+22=32
  • a_6=10+27.5=37.5

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