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
podryga [215]
3 years ago
14

A sequence is shown.

Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

Step-by-step explanation:

The given sequence of numbers is increasing in geometric progression. The consecutive terms differ by a common ratio, r

Common ratio = 6/3 = 12/6 = 2

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 3

r = 2

The function, f(n), representing the nth term of the sequence is

f(n) = 3 × 2^(n - 1)

You might be interested in
100 POINTS FOR WHO EVER SHOWS THE WORKS AND ANSWERS CORRECTLY. LEGIT 4 QUETIONS BUT MUST SHOW WORK!!
lianna [129]

Step-by-step explanation:

Hey there!

1.》 Let the unknown angle be 'x'.

Now,

x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]

x = 180° - 134°

x = 46°

Therefore the missingangle is 46°.

2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]

angle 1 = 133°

Therefore the measure of angle 1 is 133°.

3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]

angle 2 = 180° - 133°

angle 2 = 47°

Therefore the measure of angle 2 is 47°.

4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.

See in picture;;; for more description for no.4.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Could someone help me understand how to solve this? I'm having trouble with it, it's about Applications of Systems of Linear Equ
Anna35 [415]

Answer:

Therefore the amount in the 4% savings account = $550

Step-by-step explanation:

i) the total amount = $1500

ii) let the amount placed in the 4% interest savings account = x

iii) let the amount placed in the 5% interest savings account  = y

iv) therefore fro i) we can say  x  +  y = 1500

v) the total interest gained = $69.5

vi) therefore we can write 0.04x + 0.05y = 69.50

vii) multiplying equation vi) with 100 we get 4x + 5y = 6950

viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500

ix) Subtracting equation in vii) from equation in viii) we get x = $550

x) Therefore the amount in the 4% savings account = $550

3 0
3 years ago
Which distance measures 5 units?
beks73 [17]

Answer:

B

Step-by-step explanation:

The distance between point x and y

6 0
3 years ago
Cheryl climbed a set of stairs and stopped at the middle step. She then walked down 2 steps, up 4 steps, down 3 steps, and up 5
Sedaia [141]

Answer:

There were 8 total steps

Step-by-step explanation:

Okay, so we start in the middle.

-2 + 4 = 2. We're back in the middle.

2 - 3 = -1. One away from the middle.

-1 + 5 = 4. Now you're at the top.

4 x 2 = 8

5 0
3 years ago
Annalee hammered in nail into a piece of wood each time she hammer the nail it went to 1/8 Inch deeper into the word if she hamm
mash [69]

Answer: 0.5 inch

Step-by-step explanation:

Given

On hammering nail advances \frac{1}{8}\ inch  each time

Annalee hammered 4 times

So, total advancement of nail= 4\times \dfrac{1}{8}=\dfrac{1}{2}\ inch

3 0
3 years ago
Other questions:
  • Find the common ratio for the geometric sequence for which <img src="https://tex.z-dn.net/?f=a_1" id="TexFormula1" title="a_1" a
    11·2 answers
  • The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Pa
    11·1 answer
  • Brian's kite is flying above a field at the end of a 40 m string. If the angle of elevation
    5·1 answer
  • -7(8-6p) = -6p-8 I need help!!!!
    7·1 answer
  • 40% of ? =240 <br>can anybody slove it​
    10·2 answers
  • Regina purchased 1.75 pounds of turkey breast from her local deli for $5.99 per pound. To the nearest cent, how much did she spe
    9·2 answers
  • Prove that : 1/1-secA + 1/1+secA = -2cot^2A​
    5·1 answer
  • The number of years it will take for ​$510 to grow to ​$1,010.18 at 5 percent compounded annually is ____
    12·1 answer
  • Please help<br><br> Select the expressions equivalent to 18 + 3r.
    14·1 answer
  • What is the y-intercept of y = 5?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!