The recursive formula for the geometric sequence is
Explanation:
The given sequence is
We need to determine the recursive formula for the given geometric sequence.
To determine the recursive formula, first we shall find the common difference.
Since, it is a geometric sequence, the common difference can be determined by
Hence, the common difference of the given geometric sequence is
The recursive equation for the geometric sequence can be determined using the formula,
Substituting the value , we get,
Thus, the recursive formula for the geometric sequence is
Slope = y2 - y1/x2 - x1
slope = -2 - 2/-4 - -2
slope = -4/-2
slope = 2
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = 28°
Adjacent Leg = EF = <em>x</em>
Hypotenuse = DF = 18
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:
- [Multiplication Property of Equality] Multiply 18 on both sides:
- Evaluate trig:
- Multiply:
- Rewrite:
- Round: