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 long would it take an investment of $1200 to grow to $2400 if interest is calculated at 6.0% per year compounded annually?
Did technology or migration do more to change antebellum America?
difference between statement x=+5 and x+=5​
It costs $3.99 for 25 fl. oz. of detergent or $6.99 for 90 fl. oz. Which is a better buy?
1. ¿Cuál amigo/a está en la clase de español con Mario?
i need help i’ll mark brainlyist.
(PLEASE HELP QUICKLY GIVING BRAINLEST TO THE CORRECT ANSWER)Identify each source as a primary or secondary source by selecting the correct drop-down. a short st
Evaluate the expression. ( 3^2 – 8) +4=
What's the synonym of advice
Which group contains only molecules that are each assembled from smaller organic compounds? proteins, water, DNA, fats 2. proteins, starch, carbon dioxide, wate