Question 222511
Find the 50th term in the arithmetic sequence 1,5,9,....


Step 1.  The constant for this sequence is 4 since 5-1=4 and 9-5=4.


Step 2.  Using this constant, we have 1+(n-1)*4 as the formula.  We can check with n=1 or 1+(1-1)*4=1.  With n=2, 1+(2-1)*4=5.  With n=3, 1+(3-1)4=9.  So it checks out.


Step 3.  With n=50, then 1+(50-1)*4=197.


Step 4.  ANSWER:  The 50th term is 197.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J