SOLUTION: given the first term and the common difference of an arithmetic sequence, find explicit rule and the 37th term http://prntscr.com/scty4s

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Question 1158456: given the first term and the common difference of an arithmetic sequence, find explicit rule and the 37th term
http://prntscr.com/scty4s
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

9.
an Arithmetic Sequence as a rule:
a%5Bn%5D+=+a%5B1%5D+%2B+d%28n-1%29
if a%5B1%5D=24+ and d=5

the explicit formula is:
a%5Bn%5D+=+24+%2B+5%28n-1%29
the 37th term is:
a%5B37%5D+=+24+%2B+5%2837-1%29
a%5B37%5D+=+24+%2B+5%2836%29
a%5B37%5D+=+24+%2B+180
a%5B52%5D+=+204

10.
a%5Bn%5D+=+a%5B1%5D+%2B+d%28n-1%29
a%5B1%5D=0 andd=-3

the explicit formula is:
a%5Bn%5D+=+0+-3%28n-1%29
a%5Bn%5D+=+-3%28n-1%29

the 37th term is:
a%5B37%5D+=+-3%2837-1%29
a%5B37%5D+=+-3%2836%29
a%5B37%5D+=+-108