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
It costs $x for a round-trip bus ticket to the mall. You have $24. Select an inequality that represents how much money you can s
lorasvet [3.4K]

Answer:you have to make the inequality first

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Bill rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 88 cents for each mile dr
lana66690 [7]

Answer:

262 miles

Step-by-step explanation:

251.55 - 20.99 = 230.56

\frac{230.56}{0.88} =262

7 0
3 years ago
Read 2 more answers
2. Which side lengths would not make a triangle?<br> 4,3,7<br> G 3, 8,6<br> ©<br> 2, 4,5
Lisa [10]

Answer:

2,4,5

Step-by-step explanation:

8 0
3 years ago
17. There are 25 squares in the pattern.
GrogVix [38]
A) 14/25
b) 4/25
c) 2/25
6 0
2 years ago
If y=80 when x=32, find x when y=100.
AfilCa [17]

Answer:

Y        X

80     32

100    x'

Step-by-step explanation:

80x' = 100*32

80x' = 3200

x' = 3200/80

x' = 320/8

x' = 40

5 0
3 years ago
Other questions:
  • What is the greatest perimeter of a rectangle with an area of 39 square feet?
    6·2 answers
  • Name the additive inverse of square root 52
    7·2 answers
  • A study was designed to investigate the effects of two​ variables, (1) A​ student's level of mathematical anxiety and​ (2) teach
    13·1 answer
  • Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
    7·1 answer
  • (2(2 •10^6)=<br> What does this equal
    10·1 answer
  • 1x1<br> wdwdwadwdwadwa dwa dwa daw dwa dw adw dw da dw dwa dw adw da daw dw dawd wd wdwdw
    14·2 answers
  • The radius of a circle is (2x-3). What is a function for the area of the circle?
    12·1 answer
  • what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.​
    12·1 answer
  • Find the perimeter of a square with sides that measure (2/3)g centimeters.
    14·2 answers
  • Answer this one please!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!