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Answer:
a) t(n) = 8n -23
b) t(n) = 7n +24
c) t(n) = -30n +9
d) t(n) = 1.8n +7
Step-by-step explanation:
The general equation for the n-th term of an arithmetic sequence is ...
an = a1 +d(n -1)
Expanding this, we find ....
an = a1 +d·n -d = d·n +(a1 -d)
Comparing that to the form ...
an = m·n +b
we see that ...
m = d
b = (a1 -d)
If you're given a term other than a1, say ak, then you have ...
ak = d·k +(a1 -d)
(a1 -d) = ak -d·k
For a given term and common difference, we can write the desired equation as ...
t(n) = d·n +(ak -d·k) . . . . . . given t(k) = ak and d
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Once again, it is convenient to use a spreadsheet to do the calculations for a number of different instances of this problem.
a) t(n) = 8n -23
b) t(n) = 7n +24
c) t(n) = -30n +9
d) t(n) = 1.8n +7
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Yes, The analysis involves a statistical test.
The hypothesis are
Step-by-step explanation:
Consider the provided information.
Testing 500 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.
Yes, The above analysis involves a statistical test.
Where claim is right hand reacts faster than the left hand.
If right hand reacts faster that means the reaction time of right hand should be smaller than the reaction time of left hand.
Let to be the average reaction time of their right hands for the right-handed participants and
to be the average reaction time of their left hands.
Therefore, the hypothesis are