Jessica will need to continue knitting for 4 nights.
9cm - 1cm = 8cm
8cm / 2cm = 4 nights
Hope this helps: If it did, please mark brainliest, give a thanks, and rate it five stars! [I'm two brainliests away from moving up!] Have an amazing rest of your day and stay safe! Let me know if you need anymore help! xx
Answer:
1.0 x 10^0
Step-by-step explanation:
The above works because 10^0 = 1, and 1 x 1 = 1.
Brainliest, please :)
Answer:
7/12
Step-by-step explanation:
2 1/3 + 1 3/4
7/3 + 7/4
28-21/12
7/12
:)ur wel
3 dimes, 1 nickel
2 dimes, 3 nickels
1 dime, 5 nickels
7 nickels
(don't forget to add in the initial quarter, dime, and nickel)
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
