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
Natasha2012 [34]
3 years ago
15

1.) Find the nth term of the sequence 1, 3, 7, 13, 21, 31… 2.) The three consecutive terms of an exponential sequence are the se

cond,sixth and seventh terms of a linear sequence. Find the common ratio of the sequence.
Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

1) xₙ = n² - (n - 1)

2) 1/4

Step-by-step explanation:

1)    1 = 1² - (1-1)

3 = 2² - (2-1)

7 = 3² - (3-1)

13 = 4² - (4-1)

...........

xₙ = n² - (n - 1)

2) three consecutive terms of an exponential sequence: x, rx , r²x

x: 2nd term of linear sequence

rx: 6th term of linear sequence      rx = x + 4d

r²x: 7th term of linear sequence     r²x = rx + d     d = r²x - rx

rx = x + 4 * (r²x - rx) = x + 4r²x - 4rx

4xr² -5rx + x = 0

x(4r² -5r + 1) = 0

x (4r - 1) ( r - 1) = 0

x = 0 or r = 1/4 or r = 1

if either x = 0 or r = 1      d will be equals to "0" everything became 0

So the only reasonable answer is r = 1/4

You might be interested in
If a= lw and if l= 1.5 and w = 0.75 what does a equal
stira [4]
Oi :)

a= l*w
a=1.5 * 0.75
a= 1.125
3 0
3 years ago
Read 2 more answers
cindy is combining equal sized rectangles from different fabric patterns to make a postage stamp quilt. each rectangle has an ar
Liono4ka [1.6K]
0.75 or .75 times 1000 equals 750
5 0
3 years ago
Read 2 more answers
(5x-6) + (2x-6)add the polynomials
Thepotemich [5.8K]

In this question, let's add those polynomials

(5x-6) + (2x-6)

5x -6 +2x -6 <em>Combine like terms</em>

<em>5x +2x -6-6</em>

7x -12

Since this is not an equation, no further step can be done.

8 0
1 year ago
Order the values from least to greatest.<br> = – 3<br> = 5 - 3<br> = -4<br> -4
Anna [14]

Answer:

-4 - 4,  -3,   5 - 3

Step-by-step explanation:

sorry if this doesnt help but the way you put it is confusing.

3 0
3 years ago
Find the area of the given trapezoid:<br> A = ...... square units
RideAnS [48]

Answer:

A = 48 square units

Step-by-step explanation:

The dimensions between two markings on the coordinate plane = 2 unit

The trapezoid is located sideways

The area of a trapezoid, A = ((a + b)/2) × h

Where;

a = The long base side

b = The short base side

h = The height

The long base side length AT = 4 space between markings = 4 × 2 units = 8 units

The short base side length SR = 2 space between markings = 2 × 2 units = 4 units

The height, h = 4 space between markings = 4 × 2 units = 8 units

The area of the trapezoid, A = ((4 unit + 8 unit)/2) × 8 unit = 48 square units.

5 0
2 years ago
Other questions:
  • PLEASE HELP!!!!!!!!!!!!!
    14·1 answer
  • Complete the equation of the line through (-9,-9) and (-6,0) y=?
    7·2 answers
  • What is the volume of the sphere given below? if necessary, round your answer to two decimal places.
    11·1 answer
  • When calculating compound interest, the periodic interest rate is always less than the annual interest rate. True or false
    6·1 answer
  • Someone please help ASAPPPPPPPO
    6·2 answers
  • Find the coordinates of H' after a reflection across the parallel lines; first across y = -2 and then across y = 2. Answer in fo
    11·1 answer
  • What is the vertex of the function (X) = -x + 71 - 4?
    10·1 answer
  • Which function is a linear function?
    11·1 answer
  • Write the equation of the graph in slope intercept form​
    8·2 answers
  • Mrs. Silva is taking her family to Arctic Dome ice rink. The employee she spoke to on the phone said the total cost for all 5 of
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!