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
soldier1979 [14.2K]
3 years ago
13

Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/16 and the common ratio is 1/4

?
Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0

Answer:

a₅ = 16(1/4)⁴

Step-by-step explanation:


stepladder [879]3 years ago
4 0
A₅ = 1/16  and r= 1/4

Let see how to build up this formula that is going to give that term of rank n

1st term =a₁ = To be calculated

1st a₁   = a₁  x  r°
2nd a₂  = a₁  x  r¹
3rd a₃  =  a₁  x  r²
4th a₄   = a₁  x  r³
5th a₅   = a₁  x  r⁴
.......................
.......................
nth : a(n) = a₁  x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1

We know the ratio r =1/4 & the fifth term, a₅ =1/16 (given). Now let's apply the formula to calculate the unknown a₁.

a(n) = a₁  x r⁽ⁿ-¹) ==>a₅ = a₁ x (1/4)⁽⁵⁺¹⁾ ===> 1/16 = a₁ x (1/4)⁴
1/167 = a₁ (1/256) ==> a₁ =16 & the formula becomes
a₅ = 16(1/4)⁴

You might be interested in
Cannon balls for an antique cannon are stacked next to it in four layers to form a square pyramid. How many cannon balls are in
labwork [276]
The amount of balls in a given layer can be found by squaring the layer it is in

4 layers
top layer (1st) is 1
2nd is 4
3rd layer is 9
4th is 16

add them up
1+4+9+16=30

30 in that pyramid
7 0
3 years ago
Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 53 ve
kari74 [83]
21 cars, 32 motorcycles.
create a system of equations using x for cars and y for motorcycles.
\left \{ {{x+y=53} \atop {4x+2y=148}} \right.
multiply the top equation by 2 to prepare for elimination method
\left \{ {{2x+2y=106} \atop {4x+2y=148}} \right.
subtract terms
\left \{ {{2x+2y=106} \atop {-4x-2y=-148}} \right.  = (-2x = -42)
divide both sides by negative 2 to solve for x
x =21
plug in x  into original equation to solve for y.
21 + y = 53
subtract both sides by 21
y=32



8 0
3 years ago
A community college has 150 word processors. The probability that any one of them will require repair on a given day is 0.025. T
Volgvan

Answer:

Binomial Distribution

Step-by-step explanation:

In this case there are only two possible outcomes that is either the processor requires repair or does not require.

In such cases binomial distribution is beneficial to use.

Binomial Distribution is simply the probability of failure or success in an experiment that is repeated multiple times.

for binomial to be used following three conditions are to be used:

1. Fixed number of trails

2. Each trial or observation is independent

3. probability of success is exactly same

6 0
3 years ago
Find the area. 9 cm 3 cm 12 cm 15_cm 3 cm​
slava [35]

Answer:

What shape is the object in question?

3 0
1 year ago
Find the volume of a HEMIsphere <br> a radius of 4.
pentagon [3]

Answer:

honestly math is my worst subject but i think its 2 im really srry i think thats wrong tho

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The ordered pair ( x + 4, y + 6) was used to translate an object. To find the pre-image of the object, you would need to move __
    6·1 answer
  • What is the answer of the question below
    15·1 answer
  • Write an equation in point-slope form of the line that passes through (-1, – 4) with slope -2.
    5·1 answer
  • Find the length of the radius of the circle.
    12·2 answers
  • A tire on Tom's car weighs 21 2/3 pounds. All 4 tires have the same weight. Which is the total weight of the 4 tires on Tom's ca
    12·2 answers
  • A water gauge in a pond measured 2358 in. At the beginning of the week. After five days of rain, the gauge read 3414 in. By how
    15·1 answer
  • Select the correct answer from each drop-down menu.
    15·2 answers
  • Kyle throws a baseball straight up from a height of 4 feet with an initial speed of 30 feet per second. If Kyle doesn't catch th
    10·1 answer
  • What is the area of the right triangle with sides 10,26 and 24
    6·2 answers
  • Let ​f(x)=x^2+6x−16​.<br> Enter the x-intercepts of the quadratic function in the boxes.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!