The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i
also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25
the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22
a4=28-3(4-1)
a4=28-9
a4=15
a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15
Answer:
option C
A number line with a closed circle on
and shading to the left
Step-by-step explanation:
we have

solve for x

Subtract
both sides


Divide by
both sides
--------> is equivalent to 
The solution is the interval--------> [9,∞)
All real numbers greater than or equal to 
A number line with a closed circle on
and shading to the right
Answer:
c) 100
Step-by-step explanation:
This is the best choice because the number is not too low or too high. He will get an accurate probability.
Given:
The expression is:

To find:
The value of the given expression when
.
Solution:
We have,

Substituting
in the above expression, we get




Therefore, the value of given expression at
is 59.
Answer:
The net worth does not change.
Step-by-step explanation:
Net worth is the sum of all of your assets minus the liabilities.
If you start off with 2,500 in your savings account, then you use the money to buy a car the net worth does not change. You started with a net worth of 2,500 because money in your savings account in considered an asset. You then use that money to buy a car which is an asset, and the car contributes to your net worth.