Answer: 15 ft
Step-by-step explanation:
I took the test :)
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
486/6 = 81
Square root 81 = one side length = 9m volume = 9^3 = 729
Answer:
f(x) = 8 - 1.5x
Step-by-step explanation:
Here, we want to write a function that can be used to describe the x th term of the sequence
Mathematically, this can be calculated by looking at the numbers in the sequence
The difference between each successive term
is -1.5 ( 6.5-8, 3.5 -5)
So the formula for then x th term will be;
f(x) = 8 - 1.5x
where x refers to the number of the term , for example the 4th term