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

The probability of the next parent Ms. O’Connor surveys being in favor of the requirements is approximately 61.36%. The following sentence or sentences contain
An electric oven has a resistance of 10.0 and voltage of 220v. How much current does it draw
A nitrogen atom has _____ valence electrons. Answers.A) 0b) 3c) 5d) 7e) 8
explain all students should be required to perform one year of community service​
Two ploughmen can plough a filed in 10 days. Find the out how long it would take 5 ploughmen to plough the same filed working at the same rate.
Spore formation dependent on bacterial availability. a) True b) False
Name any two text properties that can be applied in css. Give the syntax
A pet sitter charges $84 for eight hours of work. At this rate, how much does the pet sitter charge for seven hours of work?
What is the income that the supplier receives from selling one or more unit?
Write the function for the function graphed above. g(x)=?