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 is the position of 9 in the number 932,805? A. The ten-thousands place B. The hundred-thousands place C. The hundreds place D. The ones place
an explanation describe if a square-eyed pet mates with another square-eyed pet, can they have any round-eyed offspring.
a summary about concussions
what are 2 examples of ionic compound?
how many 1 1/2 centimeter cubes can fit into a rectangular prism that has a length of 12 centimeters , a width of 6 centimeters and a height of 9 centimeters
What were the driving forces behind the industrial revolution
what was NOT a primary goal of marriage in a feudal system at the noble level? A. Exchange of land and goods B. love and companionship C. Political arrangement
Step by step directions Square root for 480
how would u form a superlative for the adverb widely
What is the additive inverse of -4a