Answer:
Step-by-step explanation:
2^-3=1/2^3
3^-2=1/3^2
(2^-3)(3^-2)=1/72
Mutiplying: the product is always 0
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Answer:
Step-by-step explanation:
<u>Given</u>:
- d = 32 miles
- t = 2 1/3 hr = 7/3 hr
<u>Find the rate s:</u>
- s = d/t
- s = 32÷7/3 = 32 × 3/7 = 96/7 ≈ 13.7 mph (rounded)
Answer: -14v-24
Step-by-step explanation:
2v-8(3+2v)
2v-(24+16v)
2v-24-16v
-14v-24
