CillianC557835 CillianC557835
  • 03-11-2022
  • Mathematics
contestada

What is a formula for the nth term of the given sequence?135, -225,375...

What is a formula for the nth term of the given sequence135 225375 class=

Respuesta :

GreysenU621945 GreysenU621945
  • 03-11-2022

Step 1: Write out the formula for a geometric sequence

[tex]\begin{gathered} T_n=ar^{n-1} \\ \text{Where} \\ T_n=\text{ the nth term} \\ a=\text{ the first term} \\ r=\text{ the common ratio} \end{gathered}[/tex]

Step 2: Write out the given values and find the formula

[tex]\begin{gathered} a=135, \\ r=-\frac{225}{135}=-\frac{5}{3} \end{gathered}[/tex]

Therefore the formula is given by

[tex]T_n=135(-\frac{5}{3})^{n-1}[/tex]

Hence, the correct choice is the first choice

Answer Link

Otras preguntas

The first thing to do when summarizing an article is to ________
What is the answer to this solution 16(3b—0.25)
10 times as many as 1 hundred is blank hundreds or blank thousand?
Which statements describe factors that led to the decline and defeat of the Aztec Empire? Choose all answers that are correct. A. The Aztecs had never seen stee
Which group is a complete sentence? a. Started his homework late Sunday night. b. The exciting end of he baseball game. c. She did not understand what happen
What Is The Property Of (20 x 18) x 5 = 20 x (18 x 5) Please Tell Me The Answer Thank You If you did I need help With it
Are the equations 3x - -9 and 4x - -12 equivalent? Explain. Please Help!!
Which of the numbers 2, 3, 4, 5 , 6 and 10 are factors of 1900
find two pairs of integers whose product is -20
In which area do the United States' state and federal governments share power?