mirandagray54 mirandagray54
  • 02-07-2021
  • Mathematics
contestada

If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 07-07-2021

Answer:

2

Step-by-step explanation:

a2 = a1×3

a3 = a2×3 = a1×3×3

=>

an = an-1 × 3 =

[tex]a1 \times {3}^{n - 1} [/tex]

a5 = 162 = a1×3⁴ = a1×81

a1 = 162/81 = 2

Answer Link

Otras preguntas

Difference between model and number line fraction
What is the value of the expression down below? 30 - 5 X 4 + 2=?
Which would be the best resources for someone who is mildly depressed
Who is responsible for overseeing SAPR training and education of the victim advocates, responders, and community at large?
Characterization is too broad a topic for a critical essay. a. True b. False
What are the four states of privacy categorized by political science professor Alan Westin?A.anonymity, loneliness, reserve, intimacyB.intimacy, doubt, anonymit
The volume of a triangular prism is half of the volume of a rectangular prism. TRUE OR FALSE?
What is a 15% tip for a mean that is 44$
Which of the following sentences is written in the present tense? A. Rainsford swam to the island after he fell off the boat. B. The sniper continued to shoot e
______ reactions release energy.