Which formula can be used to find the nth term of the geometric sequence below? 1/6,1,6,36

Answers

Answer 1

Answer: ratio = 1÷1/6 = 6÷1 = 36÷6 = 6

nth term

$a_(n) = a r^(n-1)$ (where a is the first term)

$a_(n) = (1)/(6) 6^(n-1)$

Answer 2

Answer:

Answer:

(6^(n-1))/6

Step-by-step explanation:

The nth term of a geometric series is a function of the number n, the common ratio between each successive number in the series r and the first term a. This may be expressed mathematically as

= a(r)^n-1

Given the series,

a = 1/6,

r = T2/T1 = 1/1/6 = 6

The nth term

= (1/6)(6)^n-1

= (6^(n-1))/6

Related Questions

Use mathematical induction to prove the statement is true for all positive integers n. The integer n3 + 2n is divisible by 3 for every positive integer n.
The product of some negative number and 10 less than three times that number is 8
Twelve is sixteen less than four times a number
4. Select all the equations that have the same solution as 2x - 5 = 15.A. 2x = 10 B. 2x = 20 C. 2(x - 5) = 15 D. 2x - 20 = 0 E. 4x10 30 F. 15 = 5-2x 5. The number of hours spent in an airplane on a single flight is recorded on a dot plot. ir 5 hours and the standard deviation is approximately 5 82 hours. The The
Which statement holds true for absolute value functions?A) The absolute value determines the direction in which the graph opens. B) The coefficient determines the line along which the graph is symmetrical. C) The distance between the left and the right arm is based on the coordinates of the vertex. D) The vertex coordinates and the absolute value determine the region of the graph on the plane.

Which equation represents the vertical line passing through (7,-3)A. x=-3
B. y=-3
C. x=7
D. y=7

Answers

Answer:

B- y=-3

Step-by-step explanation:

if there are 26 students in each third-grade class and 3 third grade classes in the school, how many students will attend an assembly for third graders if total of 4 student's are absent

Answers

Answer: There are 74 students of third grade attend an assembly .

Step-by-step explanation:

The number of students in third grade classes = 26

The number of third classes in the school = 3

Therefore, the total number of students of third grade in the school = $3*26=78$

Now, it 4 students are absent then the number of third grade students in the school = $78-4=74$

Hence, there are 74 students of third grade attend an assembly .

there will be 74 students

A bacterial population has an exponential growth rate of 11.2% per hour. If there were 480 bacteria initially, what would the bacterial population be after 5 hours

Answers

The number of bacterial population after 5 hours is; 816

The formula for the exponential growth of the population is;

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

We are given;

N_o = 480

r = 11.2% = 0.112

t = 5

Thus;

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

Approximating to a whole number gives; N(5) = 816 bacteria

Read more about exponential growth at; brainly.com/question/15316908

Final answer:

The bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria would be approximately 947.1 bacteria.

Explanation:

To calculate the bacterial population after 5 hours with an exponential growth rate of 11.2% per hour and an initial population of 480 bacteria, we can use the formula

P = P0 * (1 + r)^t.

P is the final population, P0 is the initial population, r is the growth rate expressed as a decimal, and t is the time in hours.

Using the given values, the formula becomes: P = 480 * (1 + 0.112)^5.

Solving this equation, the bacterial population after 5 hours would be approximately 947.1 bacteria.

Learn more about bacterial population growth here:

brainly.com/question/14992076

#SPJ3

Solve the problem by using the counting principle. (: Drapery is sold in 4 different fabrics. Each fabric comes in 13 different patterns. Each pattern is offered in 9 different colors. How many fabric-pattern-color combinations are there?

Answers

so 4 fabrices13 pattersns per fabric9 colors per fabricfirst consider 4 fabrrics and 13 paterns13 patterns per fabric and 4 fabric so 4 times 13=52 totalthen 952 patterns9 for each52 times 9=468468 patterns total

Alexis can type 35 words in a minute. her friend Jonathan can type 40 words in a minute. How long will it take Alexis to type 140 words?