What is the tenth term of the sequence described by the following f1 = -2, tn =3tn-1

Answer:

The 10th term will be:

t₁₀ = 39366

Step-by-step explanation:

Given the sequence

tₙ = -3 tₙ₋₁

Given

t₁ = -2

substitute n = 2, to determine the 2nd term

tₙ = -3 tₙ₋₁

t₂ = -3 tₙ₋₁

t₂ = -3 t₂₋₁

t₂ = -3 t₁

t₂ = -3 × -2        ∵ t₁ = -2

t₂ = 6

substitute n = 3, to determine the 3rd term

tₙ = -3 tₙ₋₁

t₃ = -3 t₃₋₁

t₃ = -3 t₂

t₃ = -3 × 6        ∵ t₂ = 6

t₃ = -18

substitute n = 4, to determine the 4th term

tₙ = -3 tₙ₋₁

t₄ = -3 t₄₋₁

t₄ = -3 t₃

t₄ = -3 × -18       ∵ t₃ = -18

t₄ = 54

substitute n = 5, to determine the 5th term

tₙ = -3 tₙ₋₁

t₅ = -3 t₅₋₁

t₅ = -3 t₄

t₅ = -3 × 54      ∵ t₄ = 54

t₅ = -162

substitute n = 6, to determine the 6th term

tₙ = -3 tₙ₋₁

t₆ = -3 t₆₋₁

t₆ = -3 t₅

t₆ = -3 × -162      ∵ t₅ = -162

t₆ = 486

substitute n = 7, to determine the 7th term

tₙ = -3 tₙ₋₁

t₇ = -3 t₇₋₁

t₇ = -3 t₆  

t₇ = -3 × 486      ∵ t₆ = 486

t₇ = -1458

substitute n = 8, to determine the 8th term

tₙ = -3 tₙ₋₁

t₈ = -3 t₈₋₁

t₈ = -3 t₇  

t₈ = -3 ×  -1458      ∵ t₇ = -1458

t₈ = 4374

substitute n = 9, to determine the 9th term

tₙ = -3 tₙ₋₁

t₉ = -3 t₉₋₁

t₉ = -3 t₈  

t₉ = -3 ×  4374      ∵ t₈ = 4374

t₉ = -13122

substitute n = 10, to determine the 10th term

tₙ = -3 tₙ₋₁

t₁₀ = -3 t₁₀₋₁

t₁₀ = -3 t₉  

t₁₀ = -3 × -13122     ∵ t₉ = -13122

t₁₀ = 39366

Therefore, the 10th term will be:

t₁₀ = 39366

Equations for the vertical and horizontal lines passing through the point (6,-3)

There were 41 tickets sold for an event. Tickets for children cost $1.50 and
tickets for adults cost $2.00. Total receipts for the event were $73.50. How
many of each type of ticket were sold?

Solve the equation for the specific value of the variable.

Alicia received a utility bill in the amont of $90. This number represents 12% of her weekly income. Find Alicia's weekly Income amount.
O $1080
$780
O $102
$750

Describe the nature of the roots for the equation 49x2 - 28x + 4 = 0.
A. two real roots
В.
one real root
C.
two complex roots
D.
one complex root

The first term of an arithmetic sequence is 12. The 9th term is -20. What is the common
difference of the arithmetic sequence?

Tyson's family took a 6- Hour car trip. They left at 10:00 a.m. and did not stop the way. what time did they arrive at their destination?
A) 2:00 p.m
B) 3:00 p.m
C) 4:00 p.m
D)5:00 p.m
E) 6:00 p.m

help!!! Will mark brainlist​

A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle? (6 points)

Could SOMONE help for a brainliest answer!

HURRY!!!!!!!!! THIS QUESTION IS 50PTS.
Option 1: $10.00 every day

Option 2: $3.00 on the first day, $3.50 on the second, $4.00 on the third, and so on, increasing by $0.50 per day

Option 3: $0.01 on the first day, $0.02 on the second, $0.04 on the third, and so on, doubling each day.



For option 1,2 and 3 Write a formula to find how much you would make on any day.

Please help out in need

3(x + 2)=x + 11 what is the answer ?

Find the sides marked with letters:
X = ? W = ?​

Can somebody help me on this? I need an explanation and answer (Ill give brainliest to whoever answer correctly and first)

:188 Meters (m) = ___________ yards (yds). Round your final answer to 2 decimal places.

Carlt mowed 2 more lawns than rocco week for 5 weeks. Carlt mowed a total of 18 lawns. How many lawns did Rocco mow each week?

Which mixed number is equivalent to the improper fraction? 35/6

Find the ratio of AD to DB and the ratio of AE to EC. Round your answers to two decimal places.

when you fall you pick yourself: back up don't let nobody tell you what you can't do what you believe in I promise you you will achieve
-daniel benoit

Morgan needs to order some new supplies for the restaurant where she works. The restaurant needs at least 650 glasses. There are currently 380 glasses. If each set on sale contains 15 glasses, write and solve an inequality which can be used to determine
s
s, the number of sets of glasses Morgan could buy for the restaurant to have enough glasses.

9) Solve for x. *
(7x - 25)
(3x +
35°
6
15
17
19

x^2 + 36x = 88 solve for x

Slope of a line that passes through 19,3 and 4,3

I NEED ANSWER ASAP!! PLS HELP

The rate below describes the number of boxes of tile it takes to cover part of a table top.

3 boxes ⁠ 1/4 tables

How many boxes will it take to complete one table top?

A movie theater has 1,000 seats. There are 424 adults and 339 children sitting i seats. How many of the seats are empty

Please help!!!


A television camera at ground level is fulming the lift-off of a space shuttle at a point 750 meters from the launch pad. The angle of elevation is 28" to the shuttle. Determine how far off the ground the shuttle is.

As a diver descends into sea water, the pressure increases by 1 atmosphere every 33 feet. The inequality below can be used to determined the death in feet of the der where the pressures
least 4 atmospheres

Somoneeeeeeeeeee???☹️

Water is leaking out of a container. At 2:30 p.m., there are 42 pints of water in the container. At 4 p.m., there are 30 pints of water in the container.


If the water continues leaking out of the container at the same rate, how much water will be in the container at 6:30 p.m.?

A. 26 pints

B. 50 pints

C. 25 pints

D. 10 pints

Tony played a video game for 85 minutes. Michael played for 37 minutes. How much more time did Tony spend playing video games?