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

Which is the purpose of a reading journal?
If y varies directly with x and y = 3 when x = 12, then what is the value of y when x = 40 PLZZZZ ANSWER FAST AND EXPLAIN YOU ANSWER (A) 480 (B) 160 (C) 10 (D)
Why was there a debate over accepting the Constitution, and what were the opposing sides of the debate?
How do the major and minor scale divisions relate the precision of measurements taken with a metric ruler or graduated cylinder?
VerZion sells the iPhone X for $899. If the monthly plan for service is $65 per month what is the linear equation for the cost of buying and using the new iPhon
What are the properties of no metals that are solid at room temperature
ASAP . Which of these is the correct definition for a compound sentence? a. a sentence with one independent clause joined by a coordinating conjunction c. a se
In two or three sentences, explain what happens to jobs and the sales of goods and services during economic growth.
Identify the correct MLA citation for a work in an anthology. A. Simon, Paul. "Citations: MLA Style guidelines." A Student's Guide to Writing College Essays. M
Please help 15 POINTS!! problem below