SOLUTION: In an arithmetic sequence, the first term is 4 and the common difference is –2. Determine the value of the 99th term.

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Question 256812: In an arithmetic sequence, the first term is 4 and the common difference is –2.
Determine the value of the 99th term.

Found 2 solutions by Edwin McCravy, checkley77:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
In an arithmetic sequence, the first term is 4 and the common difference is –2.
Determine the value of the 99th term.


The formula for the th term,  of an arithmetic sequence with
first term  and common difference  is:



Substitute , ,  into that formula:













Proof that this is correct:

Term no. 1 
Term no. 2 
Term no. 3 
Term no. 4 
Term no. 5 
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Term no. 98 
Term no. 99 

Edwin




Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
An=A+(n-1)D
An=4+(99-1)-2
An=4+98*-2
An=4-196
An=-192 ANS. FOR THE VALUE OF THE 99 th. TERM.

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