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

What is the relationship between the lines determined by the following two equations? 6x-2y=16 and y=3x-8 1. They are the same line 2.parallel 3.perpendicula
Which sentence contains parallel structure? a. Mekhi was finally finished with his chemistry homework. b. Mekhi finished his chemistry homework before basketbal
of all the reasons to build offshore wind farms, which scientific reasons make the most sense?
What is chief kabongo’s argument against it?
Sebastian swam laps everyday in the community swimming pool. he swam for 45 minutes everyday ,5 days each week , for 12 weeks. in that time he swam 1,800 laps.
Which of the following is NOT something that Earth's atmosphere protects us from? A. meteoroids B. ultraviolet light C. greenhouse gases D. dangerous parti
what were the principal features of the plan to rebuild galveston?
what does friends mean?
Write (2x+1)(x-3)(x-2) in standard form
What is the unit rate for this problem: $4.50 for 10 ounces of trail mix