-6x-2=8-2(3x+5) how do you solve this ?
2 answers:
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2 normal types of sequences:
1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2
2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2
the nth term is denoted by
the first term is represented by
for arythmetic sequences, the nth tem is
where d=distance between each term
for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms
1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2
2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2
the nth term is denoted by
the first term is represented by
for arythmetic sequences, the nth tem is
for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms
Answer:
7 days
Step-by-step explanation:
At 25% per day, it will take approximately 3 days to double the population, so approximately 6 days for the population to quadruple. Checking that number, we find it is not quite enough for the experiment, so another day is required.
"Guess and check" as a method of solution works especially well if you have an automated checker to evaluate your guess. A graphing calculator or spreadsheet can work well for this.
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We guess 3 days as the doubling time using the "rule of 72" that says the product of percentage and doubling time is about 72. That is, 72/25 ≈ 3. (This is only a very rough approximation of doubling time, best for rates near 8%.)
