Multiply the second fraction by three.
4/9 + 3/9 = 7/9
1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule:
Recursive rule: 




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2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule:
Recursive rule: 




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3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule:
Recursive rule: 




When t = 0 the point on the graph is (0,36). Your equation is just a line and always has the same tangent line so your equation is the same s = 36 - t.
The expected duration of the activity is 29 days and 4 hours.
Step-by-step explanation:
Step 1:
The optimistic time,
= 25 days,
The most likely estimate,
= 29 days.
The pessimistic time,
= 34 days.
According to PERT, the expected duration of the activity, 
Step 2:
By substituting the given values, we get
0.1666 days = 
29.1666 days approximately equal 29 days and 4 hours.
Starting price is : $248.50Price with 25% off :$248.50 x ( 1 - 0.25 ) = $248.50 x 0.75 = $186.375After that she has to pay 5 % sales tax:$186.375 x 1.05 = $195.70Answer: $195.70