An arithmetic sequence is - 1/2 , 1, 5/2 , 4, 11/2 , 7, ... . What is the general term of the sequence?
1 answer:
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Answer:
<h2> - 320</h2>Step-by-step explanation:
a₁ = 10
a₂ = 6
d = a₂ - a₁ = 6 - 10 = -4
n = 16
a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50
Answer:
$21
Step-by-step explanation:
- Step one we find what 30% of $30 is, percentage is a number over 100;
, so 9 dollars
- Now this is the amount of the discount, so we take it out of $30
- So $30-$9=$21
- That's the discount
Answer:
ONE SOLUTION
Step-by-step explanation:
When two points on a line are given, the equation of the line is given by the formula:
where and
are the points on the line.
Here, the first set of points are: and
.
Therefore, and
.
The line passing through this is given by:
∴ 2x + y - 1 =0
Now, for the second line, the points are:
and
.
Therefore,
∴ 2x - y + 2 = 0
Now, to determine the number of solutions the two equations have, we solve these two equations,
Adding Eqn(1) and Eqn(2) we get:
4x = -1
And .
Since, we arrive at unique values of 'x' and 'y', we say the lines have only one unique solution.