Answer:
an = 5n -7
Step-by-step explanation:
Try the offered formulas with n= 1 and see which gives you the first term of the sequence.
<u>an = -2n +3</u>
-2(1) +3 = 1 . . . . not -2
<u>an = -2n +7</u>
-2(1) +7 = 5 . . . . not -2
<u>an = 5n +3</u>
5(1) +3 = 8 . . . . not -2
<u>an = 5n -7</u>
5(1) -7 = -2 . . . . this is the formula you want
_____
If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.
Whats the rest of the question
Answer:
0.01097393689
Step-by-step explanation:
We can use the equation f(n) = 8*1/3^n-1 to find the nth term in this sequence. 8 being the first term, 1/3 being the common ratio
Answer:
0.3520
Step-by-step explanation:
We have been given that the pulse rates among healthy adults are normally distributed with a mean of 80 beats/second and a standard deviation of 8 beats/second. We are asked to find the proportion of healthy adults have pulse rates that are more than 83 beats/sec.
First of all, we will find z-score corresponding to sample score of 83 as:
, where,
z = Z-score,
x = Sample score,
= Mean,
= Standard deviation.
Upon substituting our given values in z-score formula, we will get:

Now, we need to find the probability that a z-score is greater than 0.38.
Using formula
, we will get:

Using normal distribution table, we will get:



Therefore, 0.3520 of healthy adults have pulse rates that are more than 83 beats/sec.