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Misha Larkins [42]
2 years ago
12

Formula for the geometric sequence 1/2, 1, 2, 4

Mathematics
1 answer:
zmey [24]2 years ago
5 0

Answer:

a_{n} = \frac{1}{2} (2)^{n-1}

Step-by-step explanation:

the nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = \frac{1}{2} and r = \frac{a_{2} }{a_{1} } = \frac{1}{\frac{1}{2} } = 2 , then

a_{n} = \frac{1}{2} (2)^{n-1}

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30 POINTS! Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 3
Vesna [10]
C^2= a^2 + b^2                  a=b
34^2= a^2 + a^2
1156=2a^2
a^2=1156/2
a^2=578
a=24.04

The side length is 24.04
            Or I got this also
Using the special triangle theorem , an isosceles triangle has a diagonal equal to the square root of 2 of the legs of the triangle. In this case, the length of the legs is 34/ sqrt of 2 or equal to 24.04 units . This rule is based on the Pythagorean theorem
If the length of each side = x.

By Pythagoras' Theorem:

x² + x² = 34²

2x² = 34²

x² = 34² / 2

x² = 578

x = √578

<span>x ≈ 24.04 inches
hope this helps
</span>
3 0
3 years ago
What is the gradient of (0,3) and (1,8)
Paha777 [63]

Answer: 5/1 = 5

Step-by-step explanation:

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5 0
3 years ago
X+2&gt;7 write the solution set in interval notation
REY [17]

Answer:

(5, infinitysymbol)

Step-by-step explanation:

First solve the inequality. Subtract 2 from both sides.

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So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.

Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.

So x > 5 in interval notation is:

(5, infinitysymbol)

This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.

5 0
2 years ago
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e-lub [12.9K]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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tiny-mole [99]

Answer:

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Step-by-step explanation:

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