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

Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 yea
1. When and where did people speak Old English?
0.0058 expressed as a percentage is
What three ways can you simplify this answer the ratio of girls to boys is 6:15
What is (4x-20)+(x+15)
What is the single most critical defense system of your body? 2. how do mucous membranes provide protection from invading organisms? 3. what is immunity? 4. exp
Apply the distributive property to factor out the greatest common factor. 35+44=
How did the Indus Valley civilization end?
A record of travel along a straight path is as follows: (a) start from rest with constant acceleration of 2.62 m/s 2 for 12.8 s; (b) constant velocity of 33.536
The fact your family Drove from Arizona to Malibu ,California to spend a week at the beach they drove 421 miles in nine hours what was their average speed in