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Arlecino [84]
3 years ago
14

How do you do these questions?

Mathematics
1 answer:
Doss [256]3 years ago
4 0

Step-by-step explanation:

(a) Fₙ₋₁ > 0, so Fₙ₊₁ > Fₙ.  Each term is bigger than the one before it, so the function is increasing, meaning the series will diverge to infinity.

(b) Fₙ₊₁ / Fₙ = (Fₙ + Fₙ₋₁) / Fₙ

Divide.

Fₙ₊₁ / Fₙ = 1 + (Fₙ₋₁ / Fₙ)

Rewrite the second fraction using negative exponent.

Fₙ₊₁ / Fₙ = 1 + (Fₙ / Fₙ₋₁)⁻¹

Take the limit of both sides as n approaches infinity.

lim(n→∞) Fₙ₊₁ / Fₙ = 1 + lim(n→∞) (Fₙ / Fₙ₋₁)⁻¹

Substitute with φ.

φ = 1 + φ⁻¹

Solve.

φ² = φ + 1

φ² − φ − 1 = 0

φ = [ -(-1) ± √((-1)² − 4(1)(-1)) ] / 2(1)

φ = (1 ± √5) / 2

Since the ratio can't be negative:

φ = (1 + √5) / 2

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Could I also get help on this, I’m giving 15 points, plz by tonight
Alchen [17]
2.) A. 32 cm
3.) D. 6.4
4.) B.) 7
5.) 22.75
6.) 3

I’ll show u a picture of how I solved everything. Ask any questions if needed.

6 0
2 years ago
Laurie buys four bags of candy with 10 pieces of candy in each bag. Her father then gives her 5 more pieces of candy. Laurie wan
lina2011 [118]

Answer:

3 pieces left over

Step-by-step explanation:

Laurie has a total of 45 pieces of candy, if she has 6 friends, you can do

45 \div 6 = 7.5

each friend can get 7 pieces of candy

7 \times 6 = 42

if each friend gets 7 pieces, you have used 42 pieces out of you total 45

45 - 42 = 3

which leaves 3 pieces left over.

3 0
3 years ago
Answer Please---Due today!!!
Angelina_Jolie [31]

Answer:

14/44 or 7/22

because 44 is the total and the total number of latin cds are 14

so 14/44 simplified would be 7/22

hope it helped

Step-by-step explanation:

Please rate and mark as brainliest

Thank you and have a good day

5 0
1 year ago
Read 2 more answers
HELP ME PLEASE ASAP?!?What is the value of y?
Snezhnost [94]
Answer: y = 57°

Explanation: 180-114 = 66°

A triangle has a total of 180° so 180-66 = 114

114 / 2 = 57° (because angles y and y have the same value)

Hope this helps :)
7 0
2 years ago
PLZZ HELP <br> 2/3 divided by 5
melamori03 [73]

Answer:

2/15

Step-by-step explanation:

2/3 divided 5 is really just:

2/3*1/5

that is just 2/15!

7 0
2 years ago
Read 2 more answers
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