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:
Write 124 in scientific notation.
Then, in scientific notation, 124 is written as 1.24 × 102. Actually, converting between "regular" notation and scientific notation is even simpler than I just showed, because all you really need to do is count decimal places.
Let's call x = profit from the sweatshirt sales 1) A vendor pays to rock band 13% of the total profit from T-shirts and sweatshirts sold at every concert. 2) the profit from T-shirts sales was $ 1,632 3) The vendor paid the rock band $ 726 after the last concert We then have the following equation: 0.13 * (1632 + x) = 726 Clearing x: (1632 + x) = (726 / 0.13) x = (726 / 0.13) - 1632 = 3953 $ Answer: the profit from sweatshirt sales was 3953 $
Total to pay per autograph= 8.00+13.25=21.25
Number of autographs you can buy = 2(21.25)= 42.5
You can buy two autographs and have a change of 8.25
Answer:
24,000
Step-by-step explanation:
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