Question

Andrea is designing the seating arrangement for a concert in her local park. to give everyone a good view, each row must have 4 more seats than the row before it, and the 1st row can only have 10 seats. help andrea plan the rest of the seating by solving for how many seats are in row 20. then explain to andrea how to create an equation to predict the number of seats in any row. show your work, and use complete sentences.

Answer 1

Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.

What is the Arithmetic Sequence?

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;

$a_{20} = 10 + (20 - 1)4.\\a_{20} = 10 + (19\times 4)\\a_{20}= 10 + 76\\a_{20}= 86.$

Thus, the number of seats in row 20 was 86 seats.

Read more about Arithmetic Sequence at;

brainly.com/question/26960394

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