a_15 = 90
a_n = 6n
Step-by-step explanation:
Given sequence is:
6, 12, 18, 24,...
First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,

The general form for arithmetic sequence is:

Putting the values for a_1 and d

<u>a) Find a15</u>

<u>b) Write an equation for the nth term.</u>
The equation is: a_n=6n
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
36 boys
Step-by-step explanation:
3
Please write the ratio as 3:5 or as --------
5
Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.
How many are in the club altogether? Let this count be represented by c. Then (5/8)c = 60.
Multiplying both sides of this equation by (8/5), to isolate c, we get:
c = (8/5)(60) = 96. Thus, there are 96 Science students altogether.
3/8 of this number are boys. This comes out to (3/8)(96) = 36 boys.
We could also solve this problem in the following manner:
3 b
------ = ------- , where b represents the number of boys.
5 60
Then 5b = 180. Dividing both sides by 5, we get b = 180/5 = 36 boys
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Answer:
0.525
21/40 as a decimal is 0.525.
Answer:
Expected population in 2015: 19,152.58 or 19,000 people
Step-by-step explanation:
Given the decreasing rate of 2.5% per year, and a population of 28,000 in the year 2000:
We can solve for the rate of decrease by using the formula:

where:
A = population by year 2015
a = initial population (in year 2000) = 28,000
r = rate of change (decrease by 2.5% annually or 0.025)
t = time (in number of years) = 15
Plug in these given values into the formula:



A = 28,000(0.684)
A = 19,152.58 or about 19,000 people in 2015