Simplify: 4x + 6(3x - 2)
2 answers:
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Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.
<h3>What is the Arithmetic Sequence?</h3>Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
The arithmetic sequence formula is;
aₙ = a + (n − 1)d,
where;
a is the first term
n is the position of the term in the sequence
d is the common difference
aₙ is the nth term of the sequence.
Our sequence is 10, 14, 18, 22 up to row 20.
Using the sequence formula;
Thus, the number of seats in row 20 was 86 seats.
Read more about Arithmetic Sequence at;
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Answer: The required number of ways is 25401600.
Step-by-step explanation: Given that seven men and seven women line up at a checkout counter in a store.
We are to find the number of ways in which they can line up, if the first person in line is a man , and the people in line alternate man, woman, man, woman and so on.
Since the first person is a man, so
for first position, we have 7 options.
There are alternate man and women in the line, so the second person must be a women.
That is, we have 7 options for the second position.
Similarly, for 3rd and 4th positions, we have 6 options for each, and so on.
Therefore, the number of ways in which the 14 persons can line up is
Thus, the required number of ways is 25401600.