Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
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The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
= 
- 7 with a₁ = - 18 ← recursive formula
Step-by-step explanation:
im not going to go in to detail but the answer is c
You can arrange them 16 times
1) aabb
2) aabb
3) bbaa
4) bbaa
5) abab
6) abab
7) abab
8) baba
9) baba
10) abba
11) baba
12) baab
13) baab
14) baab
15) baab
16) abba
Answer:
9 inches.
Step-by-step explanation:
Fun question! The length of a space diagonal for a cube is 
Thus, the first cube has a side diagonal of 
The next cube would have a side diagonal of 3
The third cube would have a side diagonal of 
And the fourth cube would have a side diagonal of 9.
Since the fifth cube has a side length equal to the side diagonal of the fourth cube, it should be 9 inches.
This problem is incomplete, but I think I know the probable question. Normally, you should have been given the target number of the company's video stores, so that you can replace the value of y and solve for x. Once you solve for x, you add this to year 1990 then you can solve for the year at which you can reach your target value. Suppose y = 3500 stores.
3500 = -264x + 4682
3500 - 4682 = -264x
-1182 = -264x
x = 4.48 years
Technically, that is equal to 4 years. Hence, the year would be 1990+4 = 1994.
