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SSSSS [86.1K]
3 years ago
13

Find the sum of the first 9 terms of the geometric series: 3 + 21 + 147 + …

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

  20,176,803

Step-by-step explanation:

This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...

 Sn = a1·(r^n -1)/(r -1)

For a1=3, n=9, and r=7, the sum is ...

  S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803

The sum of the first 9 terms is 20,176,803.

_____

The first 9 terms are ...

  3 +21 +147 +1029 +7203 +

  50,421 +352,947 +2,470,629 +17,294,403

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Step-by-step explanation:

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Evaluate |bc|, given a = 5, b = -3, and c = -2.
Anni [7]

Answer:

6

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>Algebra I</u>

  • |Absolute Value| - makes any number positive

Step-by-step explanation:

<u>Step 1: Define</u>

|bc|

a = 5

b = -3

c = -2

<u>Step 2: Evaluate</u>

  1. Substitute:                    |-3 · -2|
  2. Multiply:                        |6|
  3. Evaluate:                       6
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Step-by-step explanation:

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Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with

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