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Vikki [24]
3 years ago
11

Complete the recursive formula of the geometric sequence 27,−9,3,−1,

Mathematics
1 answer:
natita [175]3 years ago
5 0

Step-by-step explanation:

a1 = 27

r = -9/27 = -⅓

the formula :

an = a1. r^(n-1)

= 27. (-⅓)^(n-1)

= 3³(-3`¹)^(n-1)

= 3³(-3)^(1-n)

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Find the future value of an ordinary annuity of $80 paid quarterly for 2 years if the interest rate is 7 % compounded quarterly
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Step-by-step explanation:

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3 years ago
What is the value of x if e3x+6=8
goldfiish [28.3K]

Answer:

x = 1/3 ln(2)

Step-by-step explanation:

e^(3x)+6=8

Subtract 6 from each side

e^(3x)+6-6=8-6

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4 years ago
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Pls help me no explain need ❤️❤️❤️
RoseWind [281]

Answer:

\displaystyle m=2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-5, 0)

Point (-9, -8)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{-8-0}{-9+5}
  2. [Fraction] Subtract/Add:                                                                                 \displaystyle m=\frac{-8}{-4}
  3. [Fraction] Divide:                                                                                            \displaystyle m=2
3 0
3 years ago
Which property is illustrated by the following statement? If ZXY= FDE, and FDE= CAB, then ZXY=CAB
blagie [28]

Answer:

Transitive property of equality

Step-by-step explanation:

By the definition of transitivity, a relation R is said to be transitive if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R.

If p = q, q = r then p = r.

Here, we have given that if ZXY = FDE and FDE = CAB, then, ZXY = CAB.

Therefore, it shows the transitive property of equality.

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