SOLUTION: What is the position of 2774 in the arithmetic sequences 5,18,31,44,..., 2774...

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Question 37248: What is the position of 2774 in the arithmetic sequences 5,18,31,44,..., 2774...
Found 2 solutions by Nate, checkley71:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
arithmetic sequence is defined as:
f%28n%29=a%2B%28n-1%29d where f(n) is your positioned number, a is your first number, and d is your difference
f%28n%29=a%2B%28n-1%29d original
2774=5%2B%28n-1%2913
2774=5%2B13n-13
2774=13n-8
2782=13n
214=n

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
5+13(X-1)=2774 OR 5+13X-13=2774 OR 13X=2782 OR X=2782/13 OR X=214 th TERM