Answer:
F(1) represents the first term of the sequence.
Step-by-step explanation:
Let us suppose the sequence function
We can find the first term of the sequence by substituting n=1 in the function sequence
We can find the 2nd term of the sequence by substituting n=2 in the function sequence
We can find the 3rd term of the sequence by substituting n=3 in the function sequence
So the first three terms of the sequence is:
13, 10, 7...
As the common difference is the same.
i.e. d = 10-13 = -3, d = 7-10 = -3
Hence, it is an Arithmetic sequence.
As the first term is 13, which can be obtained by putting n=1 in the function sequence.
Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.
<h2><u>Answer:</u></h2><h2><u>1. 2x⋅(2x+1)</u></h2><h2><u>2. −2</u>
</h2><h2>3. −1⋅(x+6)</h2>
Answer:
3
Step-by-step explanation:
10-1.50 is 8.5 and divide that by the cost
Step-by-step explanation:
2 digit numbers are beetween 10 and 99
We are looking for numbers in wich the unit digits is less than the ten digit
we can make notice something about this numbers
0 is the smallest postive integer so all these numbers satisfy the condition
so we have now 9 numbers
here is another remark :
- 0 < 1 < 2 < 3 <4 <5 <6 < 7 < 8 < 9
numbers from 91 to 99 satisfy the condition except 99
so here are 8 other numbers
numbers from 80 to 89 satisfy the condition except 88 and 89
so here are 7 other numbers
the numbers that satisfy the keeps decreasing by 1 each time
- 8 (91⇒98)
- 7 81⇒88 + 80
- 6 71⇒76 + 70
- 5 61⇒ 65 +60
- 4 51⇒ 54 + 50
- 3 41⇒ 43 + 40
- 2 31⇒32 + 30
- 1 21 + 20
so the total number of numbers that satisfy the condition
9+8+7+6+5+4+3+2+1= 45
Notation. x y means x is less than or equal to y. x y means x is greater than or equal to y. x < y means x is less than y. x > y means x is greater than y. The last two inequalities are called strict inequalities. Our focus will be on the nonstrict inequalities. Algebra of Inequalities Suppose x + 3 < 8. Addition works like for equations: x + 6 < 11 (added 3 to each side). Subtraction works like for equations: x + 2 < 7 (subtracted 4 from each side). Multiplication and division by positive numbers work like for equations: 2x + 12 < 22 =) x + 6 < 11 (each side is divided by 2 or multiplied by 1 2 ). 59 60 4. LINEAR PROGRAMMING Multiplication and division by negative numbers changes the direction of the inequality sign: 2x + 12 < 22 =) x 6 > 11 (each side is divided by -2 or multiplied by 1 2 ). Example. For 3x 4y and 24 there are 3 possibilities: 3x 4y = 24 3x 4y < 24 3x 4y > 24 4y = 3x + 24 4y < 3x + 24 4y > 3x + 24 y = 3 4x 6 y > 3 4x 6 y < 3 4x 6 The three solution sets above are disjoint (do not intersect or overlap), and their graphs fill up the plane. We are familiar with the graph of the linear equation. The graph of one inequality is all the points on one side of the line, the graph of the other all the points on the other side of the line. To determine which side for an inequality, choose a test point not on the line (such as (0, 0) if the line does not pass through the origin). Substitute this point into the linear inequality. For a true statement, the solution region is the side of the line that the test point is on; for a false statement, it is the other side.
