The basketball team scored 12 points the first game and 40 points the eighth game of the season. How many points will they earn with this pattern on the 13th game of the season?

limfne2c

limfne2c

Answered question

2022-10-27

The basketball team scored 12 points the first game and 40 points the eighth game of the season. How many points will they earn with this pattern on the 13th game of the season?

Answer & Explanation

Hilfeform5c

Hilfeform5c

Beginner2022-10-28Added 14 answers

Assumed to be an Arithmetic Sequence.
a 1 = 12 points
Formula for nth term is a n = a 1 + ( n - 1 ) d
a 8 = a 1 + ( 8 - 1 ) d = 40
12+7d=40 or 7d=40−12 or d=4
Now to find the 13 t h term,
a 13 = a 1 + ( 13 - 1 ) d = 12 + ( 12 4 ) = 12 + 48 = 60

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