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serious [3.7K]
3 years ago
14

Find the 76th term of the arithmetic sequence 17 19 21

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

167

Step-by-step explanation:

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A. Write two explicit formulas for arithmetic sequences.
IgorLugansk [536]

Explicit formulas for arithmetic sequences are derived from terms in arithmetic sequences. It helps to find each term in arithmetic progression easily. The arithmetic progression is a1, a2, a3, ..., an. where the first term is denoted as 'a', we have a = a1, and the tolerance is denoted as 'd'. The tolerance formula is d = a2 - a1 = a3 - a2 = an - an - 1. The nth term of the arithmetic progression represents the explicit formula for the arithmetic progression.

Explicit formula: an= a + (n − 1) d

Explicit formula: Sn = n/2 [2a+(n-1) d]

Where,

nth term in the arithmetic sequence

a = first term in the arithmetic sequence

d = difference (each term and its term difference) previous term, i.e., d = an-an-1

More problems related to a similar concept are solved in the link below.

brainly.com/question/17102965?referrer=searchResults

#SPJ4

7 0
1 year ago
A study conducted on 40,000 words in the English language found that about 6,670 words started with the letter T, which is the m
melisa1 [442]

To answer this problem, first let us calculate for the theoretical probability obtained from the study conducted:

Theoretical Probability = 6,670 / 40,000

Theoretical Probability = 0.16675 = 0.17

From the given choices, the list of words which can give this similar amount of probability is:

“to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, out, whom, example, who, mention, say”

In this set of words, the number of words starting with letter T is 4. Calculating for the probability of getting a word starting with T in this set is:

Sample probability = 4 / 20

<span>Sample probability = 0.20</span>

5 0
3 years ago
Read 2 more answers
What is the sales tax on the chair shown if the tax rate is 5.75% ( the chairs price is $178.90)
timurjin [86]
If I remember how to do this right I’m pretty sure you just divid by 178.90 by 5.75 wich gives you 31.11 for the tax rate
7 0
3 years ago
Natalia needs 9 apples to make her famous apple pie. Natalia 25 apples. Naomi surprised her with a basket of 11 apples. How many
pychu [463]

Answer:

4

Step-by-step explanation:

25+11 because u have 25 an u get 11 more so that's 36 total

36÷9 because if your total is 36 an it takes 9 apples make 1 pie u would divide

4 0
3 years ago
Determine the number of solutions for each quadratic.
DiKsa [7]

Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.

4 0
3 years ago
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