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
Mama L [17]
3 years ago
11

The question is: type your equation for the following pattern

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer:

\large\boxed{a(n)=16\left(\dfrac{1}{2}\right)^{n-1}}

Step-by-step explanation:

a(1)=16\\\\a(2)=16:2=8\\\\a(3)=8:2=4\\\\a(4)=4:2=2\\\\a(5)=2:2=1\\\\a(n)=a_{n-1}:2=\dfrac{1}{2}a_{n-1}

This is a geometric series with the common ratio r=\dfrac{1}{2} and the first term a_1=16.

An explicit formula of the n-th term of a geometric sequence:

a_n=a_1r^{n-1}

Substitute:

a_n=16\left(\dfrac{1}{2}\right)^{n-1}

You might be interested in
Gina has 5 2/8 feet of silver ribbon and 3 6/8 of gold ribbon. How much more silver ribbon does Gina have than gold ribbon.
Paraphin [41]

Answer: we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,

                               5 2/6 feet - 2 4/6 feet = 8/3 feet

Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon.

6 0
3 years ago
The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an a
Mekhanik [1.2K]

Answer:

Roger

Step-by-step explanation:

Since he is attending more shows, he will benefit. He will save a net amount of $40

7 0
3 years ago
Help and i will make brainliest and will than and rate and give points if someone helps me
Marysya12 [62]
1.
8{c}^{2} - 1.5d \\
2.
6 - 4x
3. -7/30
4. i believe it is the communitive of multiplication , but not 100% sure
6 0
3 years ago
Jimmy’s new cell phone cost him $49.99 when he signed a 2 year plan, which was 75% off the original place. What was the original
Sati [7]
If Jimmy's new cell cost him $49.99 with a 75% discount, then $49.99 is <span>100%−75%=25%</span><span> of the original price.
</span>
The original price of the cell phone was <span>$199.96</span><span>.</span>
6 0
3 years ago
The blank is the greatest of the common factors of two or more numbers
xeze [42]
GCF, Greatest Common Factor.
4 0
3 years ago
Read 2 more answers
Other questions:
  • A number divided by 4 equals 16. Find the number
    13·1 answer
  • A polling organization contacts 1835 undergraduates who attend a university and live in the United States and asks whether or no
    13·1 answer
  • Explain how you can use compatible numbers to estimate the quotient 925÷29
    12·2 answers
  • Which expression represents the phrase "twice the difference of a number and 5"?
    8·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx-5%7D" id="TexFormula1" title="\sqrt[3]{x-5}" alt="\sqrt[3]{x-5}" align="abs
    10·1 answer
  • Find QS HELP ME PLEASE !!!!!!
    8·1 answer
  • PLEASE ANSWER PLEASEE!!!!!!!
    13·2 answers
  • State whether the following statements are True or False:
    13·1 answer
  • 2x+3=15 <br> x+y=6 <br> work out the values of x and y
    7·2 answers
  • If possible, use elimination to solve the system of<br> equations.<br> 5x + 10y = 7<br> 4x + 8y = 3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!