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

If you do 200 joules of work using a force of 5 newtons,over what distance will the force applied
Hair color and eye color are examples of a person's
one of the major problems north korea presents for other countries is its A) Frequent Natural Disasters B) Economy C) Nuclear Program D) Aging Population
How many solutions does this equation have? -8y 8y = 0
Battles have been described in Scripture before they happened. True or False
#3 Reggie left a 15% tip for a meal that cost $51. What was the amount of the tip? A. $3.40 B. $6.60 C. $7.65 D. $8.15 Please and Thank You!
Which had th most exceptional Reign in the later part of the Byzantine empire's period of greatness
Need help confused about what they mean
What is the solution to the system of linear equations A. (-3,0) B. (-3,3) C. (0,2) D. (3,1)
#5 The price of a pair of shoes is marked down 33%. The original price was $59.85. What is the sales price of the shoes? A. $16.85 B. $19.75 C. $40.10 D. $45.