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vesna_86 [32]
3 years ago
7

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

The statement, one fifth of the square of a number is written as

\frac{1}{5}  {x}^{2}

Hope this helps you

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Step-by-step explanation:

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A geometric sequence has a common ratio of 22 and the 12th12th term is −12,288.−12,288.
Lemur [1.5K]

Answer:

<h2>Tₙ = -3(2)ⁿ</h2>

Step-by-step explanation:

The explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹ where;

a is the first term of the geometric sequence

r is the common ratio

n is the number of terms

If a geometric sequence has a common ratio of 2 and the 12th term is −12,288, then;

T₁₂ = ar¹²⁻¹

T₁₂ = ar¹¹

Given T₁₂ = -12,288 and r = 2, we can calculate the first term a

-12,288 = a2¹¹

a = -12,288/2¹¹

a =  -12,288/2048

a = -6

Since the explicit rule for determining the nth term of a geometric sequence is expressed as Tₙ = arⁿ⁻¹, then for the sequence given, the explicit rule will be;

Tₙ = -6(2)ⁿ⁻¹

Tₙ = -6 * 2ⁿ * 2⁻¹

Tₙ = -6 * 2ⁿ * 1/2

Tₙ = -3(2)ⁿ

Hence the explicit rule that describes this sequence is Tₙ = -3(2)ⁿ

8 0
3 years ago
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-Dominant- [34]

Answer:

x=26

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Step-by-step explanation:

8 0
3 years ago
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