I have to make certain assumptions about what you mean here by your
3 ≤ 4 + 3 x / 2 ≤ 2: <span>3 ≤ 4 + 3x/2 ≤ 2. Is that correct or not?
If correct, let's elim. the fractions by mult. all 3 terms of this inequality by 2:
2(</span> 3 ≤ 4 + 3x/2 ≤ 2) => 6 ≤ 8 + 3x ≤ 4
Now subtract 8 from all three terms:
6-8 ≤ 8-8 + 3x/2 ≤ 2-8, or -2 ≤ 3x ≤ 4-8, or -2 ≤ 3x ≤ -4
Isolating x: -2/3 ≤ x ≤ -4/3
There's a basic problem here: -2/3 is not ≤ -4/3.
Please double check to ensure that you have copied down the original problem exactly as it was given.
Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 55 gives the next term. In other words, an=a1rn−1an=a1rn-1.
Geometric Sequence: r=5r=5
This is the form of a geometric sequence.
an=a1rn−1an=a1rn-1
Substitute in the values of a1=1a1=1 and r=5r=5.
an=1⋅5n−1an=1⋅5n-1
Multiply 5n−15n-1 by 11.
an=5n−1
The expression that is equivalent to 4(x+2) is 4(x)+4(2)
It's would be plus haft that number (it's a negative) and the next number would be 0
