Answer: -4 . 2ⁿ⁻¹
Step-by-step explanation: This is a geometric progression
the nth term is given by arⁿ⁻¹
a = the first term of the sequence
r = common ratio
n= number of terms
for this sequence
a = -4
r = -8/-4 = 2
nth term, an = -4 . 2ⁿ⁻¹
Answer:
![\frac{1}{15} x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B15%7D%20x)
Step-by-step explanation:
![\frac{7x}{20} - \frac{5x}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7x%7D%7B20%7D%20%20-%20%20%5Cfrac%7B5x%7D%7B12%7D%20)
![\frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%20%5Ctimes%207x%7D%7B3%20%5Ctimes%2020%7D%20%20-%20%20%5Cfrac%7B5%20%5Ctimes%205x%7D%7B5%20%5Ctimes%2012%7D%20)
![\frac{21x}{60} - \frac{25x}{60}](https://tex.z-dn.net/?f=%20%5Cfrac%7B21x%7D%7B60%7D%20%20-%20%20%5Cfrac%7B25x%7D%7B60%7D%20)
![\frac{21x - 25x}{60} = (21 - 25)x = - 4x](https://tex.z-dn.net/?f=%20%5Cfrac%7B21x%20-%2025x%7D%7B60%7D%20%20%3D%20%2821%20-%2025%29x%20%3D%20%20-%204x)
![\frac{ - 4x}{60} = - \frac{ x}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%204x%7D%7B60%7D%20%20%3D%20%20-%20%20%5Cfrac%7B%20x%7D%7B15%7D%20)
![\boxed{\green{= \frac{1}{15} x}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cgreen%7B%3D%20%20%5Cfrac%7B1%7D%7B15%7D%20x%7D%7D)
Answer:
900 - 60n ≥ 450
n ≤ 7.5
Answer: 7 weeks
Step-by-step explanation:
Let n = numberof weeks.
In n weeks, you withdraw 60n from the account.
After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.
900 - 60n ≥ 450
-60n ≥ -450
n ≤ 7.5
Answer: 7 weeks