Simplifying
(6x + -5) + -1(7x + 2) = 0
Reorder the terms:
(-5 + 6x) + -1(7x + 2) = 0
Remove parenthesis around (-5 + 6x)
-5 + 6x + -1(7x + 2) = 0
Reorder the terms:
-5 + 6x + -1(2 + 7x) = 0
-5 + 6x + (2 * -1 + 7x * -1) = 0
-5 + 6x + (-2 + -7x) = 0
Reorder the terms:
-5 + -2 + 6x + -7x = 0
Combine like terms: -5 + -2 = -7
-7 + 6x + -7x = 0
Combine like terms: 6x + -7x = -1x
-7 + -1x = 0
Solving
-7 + -1x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms: 0 + 7 = 7
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
The recursive definition for the geometric sequence is given as follows:
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which 
is the first term.
The recursive definition of a geometric sequence is given by:
In this problem, we have that the first term and the common ratio are given, respectively, by:
.
Hence the recursive definition is given by:
More can be learned about geometric sequences at brainly.com/question/11847927
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Answer:
hahhbabbwbbbshhshhauyydb e hsuhshbdhwyysgdvbsbhhshd
It can arouse a feeling of pride and happiness.
Answer:
r ≤ -5 and r ≥ 1
Step-by-step explanation:
The solution has two parts:
1) that derived from | 2 +r | ≥ 3 when (2 + r) is already positive. Then:
2 + r ≥ 3, or r ≥ 1
and
that derived from | 2 +r | ≥ 3 when (2 + r) is negative. If (2 + r) is negative, then
|(2 + r)| = -(2 + r) = -2 -r, which is ≥ 3. Therefore, -2 -r ≥ 3, or -r ≥ 5. To solve this for r, divide both sides by -1 and reverse the direction of the inequality sign: r ≤ -5
