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
ra1l [238]
2 years ago
5

Given a2 = 15 and a5= -3,240 of a geometric sequence, what is the recursive equation for the nth term

Mathematics
1 answer:
Assoli18 [71]2 years ago
6 0

Answer:

  a[1] = -5/2

  a[n] = -6·a[n-1]

Step-by-step explanation:

The explicit formula for the n-th term is ...

  an = a1(r^(n-1))

We can use this to find the common ratio, r.

  a2 = 15 = a1·r^(2-1) = a1·r

  a5 = -3240 = a1·r(5-1) = a1·r^4

Dividing the second equation by the first gives ...

  -3240/15 = (a1·r^4)/(a1·r)

  -216 = r^3 . . . . simplify

  -6 = r . . . . . take the cube root

The first term is ...

  15 = a1·(-6)

  a1 = 15/-6 = -5/2

__

The entire recursive formula for the sequence is ...

  a[1] = -5/2 . . . . . . . . . . the initial condition

  a[n] = -6·a[n-1] . . . . . . the recursion relation

You might be interested in
Scale of a model airplane to the actual airplane is 1 inch equals 10 feet. How many times longer the actual plane is than the mo
WINSTONCH [101]

Answer:

120 times

Step-by-step explanation:

If we want to find a qunatity is how many times as other quantity, we have to divide the large one by the small one (remember, same units).

Let's make both into inches.

We have 1 inch [model]

also

10 feet * 12 = 120 inches

Thus, we can say:

120/1 = 120 times

So, Actual Plane is 120 times than model airplane

6 0
3 years ago
Place value of whole numbers 301,256,878
notka56 [123]
300 + 0+ 1, 200 + 50+ 6, 800 +70 + 8.
4 0
2 years ago
Who did you vote for Biden or trump
Schach [20]

Answer:

biden

Step-by-step explanation:

:)

4 0
3 years ago
Read 2 more answers
11.4÷35.7 answer estimated<br>(15 points)(brainliest included)<br>(incorrect answer=report)​
Gre4nikov [31]

Answer:

0.31932773109

Step-by-step explanation:

  • Set it up
  • Move the decimal point one place to the right for both of them
  • Then, do the long division
  • Keep adding zeros at the end until you have your answer
  • You can round it to 0.32 if you want
8 0
2 years ago
PLZ HELP ME LLZ I WILL DO ANYTHING
____ [38]

Answer:

X=45

Step-by-step explanation:

45+3x=180

180-45=135

135/3=45

x has to be 45

x=45

4 0
3 years ago
Other questions:
  • What is the surface area?
    7·1 answer
  • Grandma has 1/2 of her birthday cake left . she wants her 12 grandchildren to each get the same size piece of cake to take home
    14·2 answers
  • Please help, thank you.
    15·2 answers
  • The cost of a pizza at the pizza palace depends on the size of the pizza and the number of toppings. For a large pizza, the cost
    8·1 answer
  • Which of the following is most likely the next step in the series?
    5·1 answer
  • How is it 86 I neeeed Explainatiob pleaseeee!!!!!
    5·1 answer
  • Given: A(-4,1), B (6, 1), C (-2, -3), D (4, -3), E (5, 4) and the center O (1, 1); use 3.14 for
    14·1 answer
  • Beach towels are on sale for $1.50 off of the regular price. Ms. Ortiz buys 4 beach towels on sale for a total of $33.96. Use eq
    9·1 answer
  • please help me this due today by 3:00. Ronda won 40 super bouncy balls playing skeeball at her school’s game night. Later, she g
    8·2 answers
  • Find the slope of the line represented by the table of values.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!