1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brums [2.3K]
3 years ago
14

Write an explicit formula for the sequence and find the 18th term. -4, 12, -36...

Mathematics
2 answers:
lora16 [44]3 years ago
5 0

Answer:

Nth term = (4/3) × (-3)^n

18th term: 516560652 or 4 × 3¹⁷

Step-by-step explanation:

-4, 12 , -36...

Are terms of a Geometric progression with:

First term = -4

Common ratio = 12/-4 = -3

Nth term = -4 × (-3)^(n-1)

= -4 × (-3)^(n)/(-3)

= (-4/-3) ×3^n

= (4/3) × (-3)^n

18th term: n = 18

-4 × (-3)^(18-1)

-4 × (-3)¹⁷

4 × 3¹⁷

516560652

Molodets [167]3 years ago
4 0

Answer:

an = -4 * (-3)^ (n-1)

513560652

Step-by-step explanation:

We can find the common ratio

12/-4 = -3

r =-3

The explicit formula is

an =a1 r^(n-1)

an = -4 * (-3)^ (n-1)

We want the 18 th term

a 18 = -4 (-3) ^ 17

        513560652

You might be interested in
Solve the equation<br><br> 1.6=7.6-5(k+1.1)
zepelin [54]
7.6 - 5(k + 1.1) = 1.6

7.6 - 5(k + 1.1) - 7.6 = 1.6 - 7.6

-5(k +1.1) = -6

-5(k + 1.1) -6
-------------- = ---------
-5 -5

k + 1.1 = 6
-----
5

k + 1.1 - 1.1 = 6
----- - 1.1
5

k = 0.1
8 0
3 years ago
I really need help with this, my teacher doesn't really teach and I'm stumped again.​
yarga [219]

Answer:

JMK = 54

JKH = 126

HLK = 90

HJL = 27

LHK = 63

JLK = 27

Step-by-step explanation:

Just use 180 for total angles in each triangle. Vertical angles mean the opposite to 126 is 126 and the other two that make up the inner vertices are (360- 126*2)/2 = 54

So, 126, `16, 54 , 54 are the inner angles in the circle. Just go from there.

5 0
3 years ago
Can y'all help me with this please
asambeis [7]
12 times 35 times 28=  980..... im not sure
5 0
3 years ago
What two numbers add to 9 and multiply to negative 11
fiasKO [112]
The two numbers are (9+ 5√5)/2 and (9- 5√5)/2.

(9+ 5√5)/2+ (9- 5√5)/2= 9
(9+ 5√5)/2* (9- 5√5)/2= -11

Hope this helps~
6 0
3 years ago
Estimate a
insens350 [35]
90x0.15=13.5
 
so the total would be 103.08 before tax
8 0
3 years ago
Other questions:
  • Janice is babysitting this summer and begins her first week with $35 in her account. If she makes $25 each week, which sequence
    9·1 answer
  • 5. Rory is playing a video game where each game lasts 13⁄4 hours. He wants to play for 9 hours today and this evening. How many
    7·1 answer
  • What is 5(-3.4k-7)+(3k+12)=
    13·1 answer
  • How to Simplify. (–21 × 3) + (15 ÷ –3)
    9·1 answer
  • I need to solve 34 + 0 + 18 + 26 using properties.<br> I suck at math
    11·1 answer
  • Choose the equation that best fits the following graph.​
    9·1 answer
  • 4.8 yd
    7·1 answer
  • Find the volume of the prism.
    5·1 answer
  • A U.S. Senator from Indiana wanted to know what all her constituents thought about the Clean Air Act that was coming up for a vo
    12·1 answer
  • Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!