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:
Area = 77 yd²
Step-by-step explanation:
Width = w
Length = w+4
Perimeter =36
Perimeter = L + L + w + w
36 = w+4+w+4+w+w
4w+8 =36
Subtract 8 from both sides
4w = 36 - 8
4w =28
Divide both sides by 4
W= 28/4
W= 7yd
Therefore length = w+4 = 7+4 = 11 yd
Area = length x width
Area = 11× 7
Area = 77 yd²
I hope this was helpful, please mark as brainliest
Answer:
Step-by-step explanation:
<u>Given functions:</u>
- f(x) = x² - 6x + 8
- g(x) = x - 2
<u>Fill in the table by calculating each value of f(x) and g(x)</u>
- x >>> f(x) >>> g(x)
- 0 >>> 8 >>> - 2
- 1 >>> 3 >>> - 1
- 2 >>> 0 >>> 0 equal
- 3 >>> - 1 >>> 1
- 4 >>> 0 >>> 2
- 5 >>> 3 >>> 3 equal
- 6 >>> 8 >>> 4
Answer:
Pizza Party
Step-by-step explanation:
Your getting two pizzas for $17.00 which is less than versus getting two pizzas for $9.00 and that being $18.00
