4. Write an explicit formula for the sequence 6,2, -2, -6, -10.... Then find the 12th term
Answers
Answer:
-38
Step-by-step explanation:
general formula
a + (n-1)(d)
formula for this question
6 + (n-1)(-4)
find d
2-6=-2-2
-4=-4
d=-4
a=6 d=-4
12th term
T12= 6+(12-1)(-4)
= 6 + (-44)
=-38
hope this helps :)
Related Questions
If a and b are any two real numbers, explain how you calculate the difference . Be sure to include each of the following in your explanation.(a) A description of the relationship between addition and subtraction (b) How you can use a number line to help with the calculation (c) How you can determine the sign of the result
If I had seventeen 1/3s of pizza how many full pizzas could I make and how many thirds would be left over?
The set of numbers 1, 7, 11, and 36 contains values of m. What value of m makes the equation below true? 4m + 8 = 36
What do you have to multply 3/8 by to get 1
Answers
B. 1
C. –9
D. –17
Answers
Given the equation: 3 * |5 + x| = 12
Using choice A. x = 7
3 * |5 + 7| = 12
36 =/= 12
Using choice B. x = 1
3 * |5 + 1| = 12
18 =/= 12
Using choice C. x = -9
3 * |5 + -9| = 12
12 = 12
Therefore, the correct answer is C. -9
Answers
b) divide 10,200 by 100 = 102
c) Add 680 + 102 = £782
Answers
Answer:
A is the answer on Edgen.
Step-by-step explanation:
prime
composite
neither
Answers
A composite number can be divided evenly by a number that is not itself or 1
Neither would be 1 and negative numbers, as 1 only has one factor (itself) and the terms prime and composite do not include negative numbers.
9 is perfectly divisible by 3 so it is composite.
Answer:
9 has the following factors: 1,9,3
Thus, it is composite
Step-by-step explanation:
Answers
Answer: it take 5.448 years for the population to reach one million.
Step-by-step explanation:
The population of a city is modeled by the equation
P(t) = 256,114e0.25t
where t is measured in years.
For the population to reach 1000000, it means that
1000000 = 256114e0.25t
1000000/256114 = e0.25t
3.9045 = e0.25t
Taking ln of both sides of the equation, it becomes
Ln 3.9045 = Ln e0.25t
1.362 = 0.25t
t = 1.362/0.25
t = 5.448 years
Final answer:
The city's population is modeled by an exponential function and to find when the population will reach one million, we need to solve the equation for t by setting P(t) = 1,000,000. This requires dividing by the initial population, taking the natural logarithm, and then dividing by the growth rate (0.25). The result is the time in years it takes for the city's population to reach one million.
Explanation:
Calculation of Population Growth Time
The city's population growth is modeled by an exponential function, P(t) = 256,114e0.25t. Here, P(t) is the population at time t and 'e' is Euler's number, approximately equal to 2.71828. Your goal is to find when the population reaches one million.
To do this, set P(t) = 1,000,000 and solve for t:
1,000,000 = 256,114e0.25t
You would divide both sides by 256,114 and then take the natural logarithm to isolate t:
t = ln(1,000,000 / 256,114) / 0.25
Use a calculator to solve for 't'. This gives the time in years it takes for the city's population to reach one million people. It's a clear demonstration of how exponential growth operates: as the population increases, it takes less time to add a certain number of individuals.
Learn more about Exponential Population Growth here:
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