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

House's path-goal theory focuses primarily on a leader's charisma.T/F
Erica está aprendiendo a tocar la guitarra. A ella le gusta mucho la música popular, pero no puede tocar como los grandes profesionales todavía. Ella quiere ser
Which conversion factor would you use to convert kilometers to miles
In a test of the effect of dampness on electric connections, 103 electric connections were tested under damp conditions and 151 were tested under dry conditions
In the equation, what is the value of x? −4(x + 4x) = 2(2 − x) + 10 A) − 7/ 9 B) − 9/ 7 C) 7 9 D) 9/ 7 Submit
Lucy and Ricky buy a home. They plan to make a down payment and carry an $82,500 mortgage. Closing costs are $2,000 and are added to the loan amount. What is th
Please help me with homework
Find the mean and the median of this data set: 9, 6, 5, 3, 28, 6, 4, 7
please help with these answers
please help me I really need this for school to get a good grade on my report card ​