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
Expression simplified: 
Step-by-step explanation:
The expression that we have in this problem is:
The first type of operation that we have to solve in such expression are multiplication/division.
In this expression, there is only one multiplication, that is:
So we can rewrite the expression as
Now we can evaluate the sum of the similar terms: in this case, similar terms are only 3 and 4, and their sum is
Therefore, the expression can be rewritten as
Learn more about simplifying expressions:
brainly.com/question/7014769
brainly.com/question/11007572
brainly.com/question/11334714
#LearnwithBrainly
Answer:
Because the kind of compounfds that you try to determine using paper chromatography (organic compounds) are usually not soluble in water. Furthermore, water could react chemically with some of this compounds, because it's a very reactive molecule. You need organic solvents that are mostly inert.
Answer:
135 degrees
Step-by-step explanation:
(8x-7)+(12x+57)=180
combine like terms
20x+50 = 180
subtract 50 on both sides
20x = 130
divide by 20
x = 130/20
x = 13/2
x = 6.5
cpq = 12x+57
cpq = 78 + 57
cpq = 135
