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
Vikki [24]
3 years ago
10

A sequence is defined by mc024-1.jpg, and mc024-2.jpg. What is the seventh term?

Mathematics
2 answers:
abruzzese [7]3 years ago
3 0
Given data :
a₃ = 9/16
aₓ = -3/4 · aₓ₋₁
Where x is the number of terms ('x' is also written as 'n')
To find the 7th term (a₇):

We know that aₓ = -3/4 · aₓ₋₁
So,
a₃ = -3/4 · a₃₋₁
a₃ = -3/4 · a₂
9/16 = -3/4 · a₂
a₂ = 9/16 × -4/3
a₂ = -36/48
a₂ = -3/4

Again,
aₓ = -3/4 · aₓ₋₁
a₄ = -3/4 · a₄₋₁
a₄ = -3/4 · a₃
a₄ = -3/4 · 9/16
a₄ = -27/64
a₄ = -27/64

For a₅,
aₓ = -3/4 · aₓ₋₁
a₅ = -3/4 · a₅₋₁
a₅ = -3/4 · a₄
a₅ = -3/4 × -27/64
a₅ = 81/256

For a₆,
aₓ = -3/4 · aₓ₋₁
a₆ = -3/4 · a₆₋₁
a₆ = -3/4 · a₅
a₆ = -3/4 × 81/256
a₆ = -243/1024

For a₇,
aₓ = -3/4 · aₓ₋₁
a₇ = -3/4 · a₇₋₁
a₇ = -3/4 · a₆
a₇ = -3/4 × -243/1024
a₇ = 729/4096
soldi70 [24.7K]3 years ago
3 0

Answer:

d is the correct one

Step-by-step explanation:

You might be interested in
GOT AN Y INTERCEPT AND GRAPH PROBLEM PLS HELPPPPPP!!! HOPE it's NOT TO HARD TO READDDDDDDDD
Novay_Z [31]

Answer:

1) It has a y-intercept of 4

2) A, the rate of change represents how fast the boys run every hour.

4 0
3 years ago
suppose x and y vary inversely and y=10 when x=4. write a function that models the variation then find y when x =90
ankoles [38]
X = k/y
4 = k/10
k = 4 x 10 = 40
Thus, x = 40 / y

90 = 40 / y
y = 40/90 = 4/9
4 0
3 years ago
A cube measures 6.6 inches on each side. Find the volume of the cube.
ELEN [110]
287.496 in^3 since you take 6.6 * 6.6 *6.6 that should give you your answer
4 0
3 years ago
400 pens in a shop. 40% are black, 20% are blue, 10% are yellow. If the remaining pens are red, how do I find the percentage of
Drupady [299]

Answer:

30 percent are red pens

Step-by-step explanation:

40 percent plus 20 percent plus 10 percent is 70 percent. That means 70 percent of the pens in the shop are not red and the other 30 percent are. If you want to know the exact amount do 30 percent of 400 which is 400 divided by 3.33 which is approximatly 120.

4 0
3 years ago
A race car is traveling at 132 feet per second. what is this rate in miles per hour?
ZanzabumX [31]
There are 3600 seconds in 1 hour. 3600×132=475200 feet per hour. now you need to convert feet to miles. which is 90miles. 90 miles per hour is the answer
7 0
3 years ago
Other questions:
  • Find the mode for the given data set.<br><br> 6<br> 34<br> 37<br><br> plz help me
    10·1 answer
  • mias bank statement showes a closing balance of 75.65 there are no outstanding checks or deposits her checkbook showes a balance
    6·1 answer
  • The diagram shows some steps in the construction of the inscribed circle of ABC. Which diagram shows the next step in the constr
    5·2 answers
  • Find The Missing Term.
    13·2 answers
  • Solve the solution of a system of linear equation<br><br> 1/2 x + y = - 6<br> 6 x + 2 y = 8
    13·1 answer
  • When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. In total, how many marbles mu
    12·1 answer
  • Complete this activity. Mr. Home buys two quarts of ice cream, one carton of soda, and three sacks of cookies for a Sunday Schoo
    5·1 answer
  • What is the line that passes through (2,4) and (3,8)
    11·2 answers
  • Find the area of a circle with a circumference of 18.48 units.
    5·1 answer
  • 4a^2 - 7b + 2ab - a^2 + b
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!