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

Solve the equation for y.4x – 5y = 9
find the proportionality of y=7.25x
What is 258/300 written as a decimal and a percent???
Enzymes have many uses in home and industry.what type of organisms are used to produce these enzymes?Chose the correct answer from the following options:Mammals
Simplify the expression. [90 – (12 + 13)](15 ÷ 3)
Convert 57 mL to its equivalent in L using dimensional analysis
1) fought at Lexington and Concord 2)a formal meeting called for a special purpose 3) complaints against British rule 4) formed to solve the problem of trade
Enzymes have many uses in home and industry.what type of organisms are used to produce these enzymes?Chose the correct answer from the following options:Mammals
Antonio sold a hat for $18. His wholesale cost was $8. What was the percent markup?
Which is larger 7% or 0.7 why?