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3 years ago

Identify the 25th term of the arithmetic sequence 2, 1 and 3 over 5,

Mathematics

2 answers:

Katarina [22]3 years ago

5 0

-7 3/5 is the correct answer simplified.

raketka [301]3 years ago

3 0

First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5

Therefore your arithmetic sequence is 2, 8/5, 6/5, ...

In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the following term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5

Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5

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Given: Quadrilaterals ABCD ~ EFGH , with measure of angle A = 47 degrees, measure of angle B = 39 degrees, and measure of angle

kaheart [24]

Answer:

The answer is below

Step-by-step explanation:

Two polygons are said to be congruent if they have the same size and shape that is their corresponding angles and sides are equal.

Hence since Quadrilaterals ABCD is congruent to EFGH, then their corresponding angles and sides are equal.

In quadrilateral ABCD:

∠A + ∠B + ∠C + ∠D = 360° (sum of angles in a quadrilateral)

Substituting:

47 + 39 + 112 + ∠D = 360

∠D + 198 = 360

∠D = 360 - 198

∠D = 162°

The image of Quadrilaterals ABCD and EFGH is not given but let us assume that they have the same orientation, hence:

∠A = ∠E = 47°

∠B = ∠F = 39°

∠C = ∠G = 112°

∠D = ∠H = 162°

3 0

3 years ago

What is the value of n?

BARSIC [14]

Answer:

n=4

Step-by-step explanation:

7n-3n=16

4n=16

n=16/4

n=4

6 0

3 years ago

The temperature of earth may be measured either by thermometers on the ground, which is an accurate but tedious method, or by se

qwelly [4]

Answer:

Analysis of variance (ANOVA) is the most accurate to estimate the difference

Step-by-step explanation:

Analysis of variance (ANOVA) is the best statistical method that can be used to determine the systematic difference between the mean values of two given set of population in any random experiment

In this case the two set of populations would be the one in which temperature is measured by thermometers on ground and sensor mounted in a space satellite.

8 0

3 years ago

Simplify.

yKpoI14uk [10]

$(-5p^4z^6u)^3$

$= (-5)^3p^{4 \times 3}z^{6 \times 3} u^3$

$= -125p^{12}z^{18} u^3$

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$\text {Answer = } -125p^{12}z^{18} u^3 \text { (Answer C) }$
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3 0

3 years ago

Read 2 more answers

X-Y=5, 6X-6Y =?

denis-greek [22]

Answer:

Yes, it is 30

Step-by-step explanation:

And yes, you thought it through correctly. 6(X-Y) = 6*5

6(X-Y) = 30

3 0

3 years ago

Read 2 more answers