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

At the movie theatre, child admission is $5.80 and adult admission is $9.70. On Wednesday, 171 tickets were sold for a total sales of $1296.00. How many child t
1. Write short notes Welfare Fund under Labour Rules, 2049.​
According to Hooke's law (a) stress x strain = constant (b) stress / strain = constant (c) strain / stress = constant (d) stress = strain
i. Shanta ____________________ to Santosh last year. (marry)
which counthy became full-fledged territorial state in Europe in the year 1789?(a) Germany (b) France(c) England(d) Spain​
Nosotros __________ todos los lugares cuando lleguemos.
what is velocity ratio ?​
The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost o
Red sweater by Mark Hac Hager​
why did it take the states so long to ratify the Articles on Confederation?​