Inezdananabsusanir
Inezdananabsusanir Inezdananabsusanir
  • 01-07-2016
  • Mathematics
contestada

find the 6th term of a geometric sequence with t1 = 7 and t9 = 45,927.

Respuesta :

olemakpadu
olemakpadu olemakpadu
  • 05-07-2016
GS =     a rⁿ ⁻ ¹

t₁ = 7,  a = 7

t₉ = 45927        ar⁹ ⁻ ¹ = ar⁸ = 45927

a =   7           ........(a)

ar⁸ = 45927...........(b)

Equation (b) ÷ (a)

ar⁸/a = 45927/7

r⁸ = 6561

Take the eight root of both sides

⁸√r⁸  =   ⁸√6561

r = 3

Sixth term = ar⁶ ⁻ ¹ = ar⁵ =    7*3⁵ = 1701

Sixth term = 1701
Answer Link

Otras preguntas

how does ally show Travis that she believes in him.. the fish in a tree story
Explain how to find a general rule for the product (a+b)^3.
insulin is a protein that is used by the body to regulate both carbohydrate and fat metabolism. a bottle contains 475 mL of insulin at a concentration of 30.o
$250 is discounted into $212.50 what is the percent decrease
According to the bohr model of the atom, which electron transition would correspond to the shortest wavelength line in the visible emission spectra for hydrogen
What are waves used to penetrate solids and use in doctors offices
When did michigan state win the rose bowl?
A mechanic repairs Mr. Estes car the amount for parts is $48 and the rate for the mechanic is $40 per hour. Write and solve an equation to find the total cost o
Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.30 per mile drive
Mathematics help please!