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bogdanovich [222]
2 years ago
6

What is the common difference for the arithmetic sequence: 8.6, 6.2, 3.8, 1.4, −1, −3.4, …

Mathematics
1 answer:
Norma-Jean [14]2 years ago
4 0

Answer:

-2.4

Step-by-step explanation:

Given that this is an arith. seq., the common difference is the difference between any two adjacent numbers of this sequence.  Choosing 3.8 and 1.4 at random, and subtracting, we get -2.4.  Note that 3.8 less 2.4 is 1.4, and that 8.6 less 2.4 is 6.2, and so on.

Since this is a decreasing sequence, the common difference must be a negative number:  -2.4.

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vredina [299]

Answer:

m=\sqrt{2} inches

Step-by-step explanation:

From the diagram, it is given that the triangle is a right angle isosceles triangle (angles are 45°, 45° and 90°). This means that the two shorter sides of the triangle are equal in length and that the side m can be found by using the Pythagorean theorem a^{2}+b^{2}=c^{2}.

m^{2}+m^{2}=2^{2} (The two shorter sides of the triangle are equivalent)

2m^{2}=4

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I hope this helps :)

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