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
Answer:
u=92
Step-by-step explanation:
Like and give 5 star rating
Step-by-step explanation:
-3x - 10 > 14
-3x > 24 (add 10 to both sides)
x < -8 (divide by -3, flip inequality sign)
The missing step is -3x > 24.
Answer:
B. 36 in.
Step-by-step explanation:
Length of the scale drawing (L) = 6.1 in.
Width of the scale drawing (W) = 1.8 in.
Actual length = 122 in.
Using the scale drawing we can apply the rules of three of proportions to find the actual width.
Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:
Cross multiply
Divide both sides by 6.1
Actual width of the rectangle = 36 in.
