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Alchen [17]
3 years ago
14

Find a18 of the arithmetic sequence 2, -5, -12, -19

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

The 18th term of the sequence is -117.

Step-by-step explanation:

The given sequence is 2,-5,-12,-19

From this AP,

First term, a = 2

Common difference, d = -5-2 = -7

It is required to find the 18th term of the sequence. The nth term of an AP is given by :

a_n=a+(n-a)d\\\\a_{18}=a+17d\\\\a_{18}=2+17\times (-7)\\\\a_{18}=-117

So, the 18th term of the sequence is -117.

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Consider the universal relation r = {a, b, c, d, e, f, g, h, i, j} and the set of functional dependencies f = { {a, b } → {c}, {
nekit [7.7K]

Answer:

relation of FDs are {a, b, d, h}. From these all but {h}

seem plausibly part of keys. Calculating the closures of likely candidates gives:

{a, b} + = {a b, c, i}

{b, d} + = {b, d, e, f}

{a, d} + = {a, d, g, h, i, j}

{a, b, d} + = {a, b, c, d, e, f, g, h, i, j}  

decompose r into 2nf and then 3nf relations shown in attachment.                    

Step- by-Step Explanation

Explanation is given in the attachment.

8 0
3 years ago
There are eight shirts in your closet, three blue, two are black, one is green, and two are white. You randomly select one to we
Maru [420]

The probability of wearing blue shirts on both days is 3/28.

<h3>What is probability?</h3>

Probability is the measure of the likelihood of an occurrence.

Given:

8 shirts are available out of which 3 are blue, 1 is green and 2 are white.

P(blue on Monday) = 3/8

Now, 7 shirts are left to wear on Tuesday

P(blue on Tuesday) =2/7

So,

the probability of wearing blue shirts on both days = 3/8 * 2/7 = 3/28

Learn more about probability here:

brainly.com/question/24756209

#SPJ1

4 0
2 years ago
Simplify to create an equivalent expression 19−6(−k−2)
Nikolay [14]
<span>19 − 6( − k − 2) 

Distribute -6:
= 19 + 6k + 12

Combine like terms:
= 6k + 31

Answer: </span>6k + 31
6 0
2 years ago
Read 2 more answers
Solve for j: J/-2+7=-12
Anestetic [448]

Answer:

J=38

Step-by-step explanation:

Subtract 7 to both sides so J/-2=-19

Then multiply -2 to both sides to get -19 times -2

That equals to 38

6 0
3 years ago
What is ∑n=15[5(−2)n−1] equal to?
kicyunya [14]

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

6 0
2 years ago
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