rubajoudah rubajoudah
  • 03-10-2020
  • Mathematics
contestada

A geometric sequence has a first term of 3 and a fourth term of 81÷8.

Find the eighth term

Respuesta :

MathPhys
MathPhys MathPhys
  • 03-10-2020

Answer:

6561 / 128

Step-by-step explanation:

The nth term of a geometric sequence is:

a = a₁ (r)ⁿ⁻¹

The first term is 3, and the fourth term is 81/8.

81/8 = 3 (r)⁴⁻¹

27/8 = r³

r = 3/2

The eighth term is therefore:

a = 3 (3/2)⁸⁻¹

a = 6561 / 128

Answer Link

Otras preguntas

The Chinese exclusion of 1882 and the genteel men's agreement with Japan in 1907 both illustrate
find the area of a polygon with the vertices of A (0,1) B (0,5) C (4,5) D (6,1
You have stock soultion of 6.0m HCL.how would dilute it in order to prepare 500ML of 2.0ml HCL
Triangle PQR ~ triangle PꞌꞌQꞌꞌRꞌꞌ. Which two transformations were performed on triangle PQR to produce triangle PꞌꞌQꞌꞌRꞌꞌ? Choose exactly two answers that are c
is 22 to 8 and 88 to 48 a proportion
Why does it matter? Explain what you think the citizens of a nation might gain or lose through their liberty.
An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply. Select answers; This fun
Which of the following is NOT part of the ICF model?
if x2+2=6x is solved by completing the square, an intermediate step would be
do you think it is important for our country to remember the history of immigrant question why or why not?