Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Answer:
n=12
Step-by-step explanation:
7n-18 =5n+6
+18 to both sides
7n=5n+24
-5n from both sides
2n=24
divide by 2
n=12
Answer:
Choice A.
Step-by-step explanation:
Let x = price of a helmet, y = price of a bat, z = price of a ball.
Company A can provide 9 helmets, 6 bats, and 12 balls for $525.
9x + 6y + 12z = 525
Company B can provide 10 helmets, 8 bats, and 10 balls for $600.
10x + 8y + 10z = 600
Company C can provide 8 helmets, 5 bats, and 15 balls for $500.
8x + 5y + 15z = 500
Answer: Choice A.
8x+6=62
8x=62-6
8x=56
X=56/8
X=7
The answer is 7. Hope this helps!
<h2>
Area of rectangle is 10L-L²</h2>
Step-by-step explanation:
Let L be the length and W be the width.
Perimeter of rectangle = 2 ( L + W )
That is
2 ( L + W ) = 20
L + W = 10
W = 10 - L
We need to express the area of the rectangle as a function of the length of one of its sides.
Area = Length x Width
A = LW
A = L(10 - L) = 10L-L²
Area of rectangle is 10L-L²
