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?

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Answer 1 · 2018-03-17T07:39:19

#color(indigo)(a_13 = 60#

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 + 7 d = 40# or #7d = 40 - 12 # or #d = 4#

Now to find the #13^(th)# term,

#a_13 = a_1 + (13-1) * d = 12 + (12 * 4) = 12 + 48 = 60#