SOLUTION: If the information given below represents an arithmetic sequence find A1. a14= 16 and d= -3/2

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Question 1179198: If the information given below represents an arithmetic sequence find A1.
a14= 16 and d= -3/2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the sequence is arithmetic
a%5B14%5D=+16 and d=+-3%2F2
a%5Bn%5D=a%5B1%5D%2B%28-3%2F2%29%28n-1%29.........use a%5B14%5D=+16 to find a%5B1%5D
16=a%5B1%5D%2B%28-3%2F2%29%2814-1%29
16=a%5B1%5D-%283%2F2%29%2813%29
16=a%5B1%5D-39%2F2
16%2B39%2F2=a%5B1%5D
highlight%28a%5B1%5D=71%2F2%29
and your formula is:
a%5Bn%5D=71%2F2%2B%28-3%2F2%29%28n-1%29