SOLUTION: Hi I need help with my homework would you please help me. Thank you. Use the formula for an to find the general term of the arithmetic sequence below. 11,47/4,25/2,53/4...

Algebra ->  Sequences-and-series -> SOLUTION: Hi I need help with my homework would you please help me. Thank you. Use the formula for an to find the general term of the arithmetic sequence below. 11,47/4,25/2,53/4...       Log On


   

Question 930744: Hi I need help with my homework would you please help me. Thank you.
Use the formula for an to find the general term of the arithmetic sequence below.
11,47/4,25/2,53/4...
According to my professor the answer is: 41/4 + 3n/4
Would you kindly please show me the steps on how to solve this problem. Thank you.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the common difference.

47%2F4-44%2F4=3%2F4, between first pair of terms.


The second pair of terms, 25%2F2-37%2F4=50%2F4-37%2F4=3%2F4.

The common difference is 3%2F4, using just the first three terms of the sequence. Expect the general term to be 11%2B%28n-1%29%283%2F4%29. Work with this expression or formula to get the form that you want or need.