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: 




Answer: C= (3,2) and D=(2.2, 2.8)
Step-by-step explanation:
The coordinates of point P(x,y) divides a line segment having end points M
and N
in m:n will be :-

Given : The endpoints of AB are A(1,4) and B(6,-1).
If point C divides AB in the ratio 2 : 3, the coordinates of point C will be :-

Simplify,

Thus , coordinate of C= (3,2)
If point D divides AC in the ratio 3 : 2, the coordinates of point D will be :-

Simplify,

Thus , coordinate of D= (2.2,2.8)
165 new subs.
22 divided by 4 is 5.5. So approximately 5.5 new subs per day. Multiply that by 30 is 165
Answer:
5.83 units
Step-by-step explanation:
See attached picture. You can use the Pythagorean Theorem. I added some lines to show the legs of a right triangle. AB is the hypotenuse.

Answer:
2 cups.
Step-by-step explanation: