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Andrew [12]
3 years ago
15

Select the following series as arithmetic, geometric, or neither. 3/2 + 3/4 + 3/8 + 3/16 + 3/32

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer:

Geometric

Step-by-step explanation:

Given : \frac{3}{2} +\frac{3}{4} +\frac{3}{8}+\frac{3}{16} + \frac{3}{32}

To Find: the following series as arithmetic, geometric, or neither.

Solution:

Find the common difference d .

If difference between the consecutive terms are same . So, the series is arithmetic.

d=a_2-a_1=\frac{3}{4}-\frac{3}{2}=\frac{3-6}{4}=\frac{-3}{4}

d=a_3-a_3=\frac{3}{8}-\frac{3}{4}=\frac{3-6}{8}=\frac{-3}{8}

Since the common difference is not same between the two consecutive terms . So, The given series is not arithmetic.

Now find the common ratio r

If the ratio between the two consecutive terms are same than the sequence is geometric.

r =\frac{a_2}{a_1}=\frac{\frac{3}{4}}{\frac{3}{2}}=\frac{2}{4}=\frac{1}{2}

r =\frac{a_3}{a_2}=\frac{\frac{3}{8}}{\frac{3}{4}}=\frac{4}{8}=\frac{1}{2}

Since the ratio between the consecutive terms are same .

So, The given sequence is G.P.

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Vedmedyk [2.9K]

Let the third side be x

using Pythagoras theoram

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3 years ago
Please find the domain and range!
SpyIntel [72]

Answer:

Domain: {-2, -3, 6, 8, 10}

Range: {-5, 1, 7, 9}

Step-by-step explanation:

Given:

{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}

✔️Domain:

This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.

Thus, the domain can be represented as:

{-2, -3, 6, 8, 10}

✔️Range:

This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.

Range can be represented as:

{-5, 1, 7, 9}

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3 years ago
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Andru [333]
Combine like terms. Is there a picture for this?
6 0
3 years ago
Read 2 more answers
Solve this question. Check your solution.<br> -5 + s &gt; -1
HACTEHA [7]
<span><span><span>−5</span>+s</span>><span>−1

</span></span>Step 1: Simplify both sides of the inequality.

<span><span>s−5</span>><span>−1

</span></span>Step 2: Add 5 to both sides.

<span><span><span>s−5</span>+5</span>><span><span>−1</span>+5
</span></span><span>s>4

</span>Answer:<span>s><span>4

hope this helps!</span></span>
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1. What is the product of one<br> half and two thirds?
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Answer:

1/3

Step-by-step explanation:

1/2 * 2/3 = 2/6 = 1/3

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