contestada

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.

Relax

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

Otras preguntas