Answer:
f(2)=5
f(5)=33
Step-by-step explanation:
The given formula, that recursively defines the sequence is
When n=1, we obtain;
When n=2, we get:
When n=3,
When n=4
When n=5,
(√3 + √11)² + (√3 - √11)²
- (a+b)² = a² + b² + 2ab
- ( a - b )² = a² + b² - 2ab
<em>Now </em><em>,</em>
(√3 + √11)² + (√3 - √11)²
(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)
14 + 2√33+ 14 - 2√33
14 + 14 = 28
Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .
If Fabio drinks 2 quarts of water each day, he would drink 8 cups of water in accordance with direct proportion.
<h3>What is a proportion?</h3>
A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented by the following equation:
y = kx
Where:
- y and x are the variables.
- k represents the constant of proportionality.
By applying direct proportion, we have:
1 quarts = 4 cups
2 quarts = X cups
Cross-multiplying, we have:
X = 4 × 2
X = 8 cups.
In conclusion, the quantity of water which Fabio drinks each day is equal to 8 cups.
Read more on direct proportion here: brainly.com/question/1266676
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Answer:
Read below
<u>Non-proportional or Proportional:</u>
Non-proportional
B. is non-proportional
D. is non-proportional
E. is non-proportional
G. is non-proportional
H. is non- proportional
Proportional
A. is proportional
C. is proportional
F. is proportional
