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SSSSS [86.1K]
3 years ago
12

NEED HELP FAST WILL GIVE BRAINLIEST

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

In a music stadium, <em>35th </em>row has <em>120</em> seats

and explicit formula is <em>a_{n}=3n+15 </em>is explicit formula for given sequence.

Step-by-step explanation:

In music stadium, there are 18 seats in first row and 21 seats in second row and it is continuously increasing by 3

Here, Arithmetic sequence is 18,21,24,27.....120

There Arithmetic sequence is given as a,a+d,a+d......a+(n-1)d

Where, a = First term = 18 and d = Increment = 3

Q (a) Write an explicit rule to model the sequence formed by the number of seats in each row.

Now, Create an explicit formula

a_{n}=a+(n-1)d

a_{n}=18+(n-1)(3)

a_{n}=18+(3n-3)

<em>a_{n}=3n+15 is explicit formula for given sequence.</em>

Q (b) Use the rule to determine which row has 120 seats.

Given a_{n}=120

To determine which row has 120 seats.

a_{n}=3n+15

120=3n+15

105=3n

n=35

Therefore, 35th row has 120 seats

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