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

What’s the slope of the equation y = x + 6
Round 425 to the nearest ten and to nearest hundred 430; 400 420; 500 430; 500 420; 400
What would be an effective claim for this presentation? Plan a presentation in which you convince your school board to have a diversity club in your school. A d
f(x) = 4^x-2; find f(1)​
The Counting Crows Company uses standard costing. During 2018, 12,000 pounds of direct material were purchased at an average cost of $5.20 per pound. Also durin
.If x= 2 +√3 , find the value of x^2+1/x^2 and x^4+1/x^4
My grandmother’s granddaughter is my ______?
2. Which number is a solution of the inequality? x(7 - x) > 8 A 8 B 2 C-1 D 0
If y = 12 x – 12, determine the value of y when x = –16.
Which of the following is the best definition of etymology? the study of Greek heroes and heroines the study of Greek architecture the study of prefixes, suffix