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mojhsa [17]
2 years ago
14

12.2 geometric sequences evaluate homework and practice answers

SAT
1 answer:
Lubov Fominskaja [6]2 years ago
4 0

Geometric Series is known to be the exact sum of the terms of a geometric sequence. Its practice work example is given below:

  • Find the stated term of Given of the Geometric sequence  -3, -6, -12, -24 ...9th term.

<h3>What is Geometric Means?</h3>

This is known to be the terms that exist  between two nonconsecutive terms that belongs to a geometric sequence.

The Method to used in the above question is Geometric sequence.

The Rule of geometric sequence is that f (n)arⁿ⁻¹

Where A  =  the first term,

r = the  common ratio

Therefore, r = -6 ÷ -3 = 2n

f (n) = -3. 2ⁿ⁻¹

Then you change the term n with 9

f (9) = 3.2⁹⁻¹

= -768

Therefore, the the stated term is 768.

Learn more about  geometric sequences from

brainly.com/question/24643676

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~A certain rectangular prism has a height of h inches, a width that is 3 inches less than its height, and a length that is 4 inc
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Answer:

Volume = 480 cubic inches

Explanation:

We have the following relationships to work with

width w = h -3

length l = h + 4

area of base of prism a = l x w = 60  (1)

area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)

Setting (1) = (2) gives

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The solutions for h are

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h - 8 = 0 ==> h = 8

Since h cannot be negative, h = 8 inches

Volume = base area x h = 60 x 8 = 480 cubic inches

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We do not have to calculate length and width separately, but if so,

w = 8 -3 = 5

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