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Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = -74. -20.5 -151 -22.75 -144
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Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = -74.

-20.5
-151
-22.75
-144

User Hamsternik
by
7.9k points

2 Answers

5 votes

Answer:

d) -144

Explanation:

User Teboto
by
9.0k points
2 votes
Arithmetic sequence:
an=a1+(n-1)d

a_(17)= a_(1)+16d -74=38 + 16d 16d=-74-38 16d=-112
d=-112/16=-7

a_(27)=a_(1) + 26d=38+26*(-7)=38-182=-144
Answer: D)-144
User Loko
by
7.3k points
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Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = −74.
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