Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
=
- 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
So, Hayden has 1224 Apples
Jenny has 1889 Apples.
All your doing is ADDING the apples to get your answer of : 3113 apples together.
Answer:
m = 9
Step-by-step explanation:
1) Find scale factor
12/8 = 3/2 = 1.5
2) 6x1.5 = 9
OR
1) Set up proportion -> 6/8 = m/12
2) Cross multiply -> 8m = 72
3) Divide both sides by 8
4) m = 9
849-805=44 min is the answer and I dot know why you needed hep for it.
Answer:
x = 18 units.
Area of triangle = 156 units^2.
Step-by-step explanation:
Area of the rectangle = 4(2x + 3) and the area of the triangle = 1/2*6*(3x - 2).
These are equal, so:
4(2x + 3) = 1/2*6*(3x - 2)
8x + 12 = 9x - 6
12 + 6 = 9x - 8x
x = 18.
Area of triangle = 1/2 * 6 * (3(18) - 2)
= 3 * 52
= 156 units^2.