Which answer is the explicit rule for the sequence 3, 8, 13, 18, 23 ... ?
2 answers:
Answer:
B.
Step-by-step explanation:
We have been given a sequence. We are asked to find the explicit rule for the given sequence.
3, 8, 13, 18, 23 ...
We know that explicit formula for a sequence is , where,
= nth term of the sequence,
= 1st term of the sequence,
= common difference.
Upon looking at our given sequence we can see that .
Let us find common difference between two terms by subtracting 3 from 8 as:
Upon substituting these values in explicit formula we will get,
Therefore, option B is the correct choice.
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Answer:
6 trials
Step-by-step explanation:
The number of rats that run the maze incorrectly after t trials ;
N(t) = 100e^-0.14t
Initial number of rats = 100
45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats
N(t) = 45
N(t) = 100e^-0.14t
45 = 100e^-0.14t
45/100 = e^-0.14t
0.45 = e^-0.14t
Take the In of both sides :
In(0.45) = In(e^-0.14t)
- 0.798507 = - 0.14t
Divide both sides by -0.14
- 0.798507 / - 0.14 = - 0.14t / - 0.14
5.7036 = t
To the nearest whole number :
Number of trials, t = 6 trials
