SOLUTION: The sum of the first five terms of an arithmetic sequence is 90 less than the sum of the next five terms. What is the absolute difference between two consecutive terms of this sequ
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Question 1023746: The sum of the first five terms of an arithmetic sequence is 90 less than the sum of the next five terms. What is the absolute difference between two consecutive terms of this sequence? Express your answer as a common fraction.
Found 2 solutions by ikleyn, richard1234:
Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website!
.
Hello,
there is no equation here.
What is written is not an equation.
To solve what?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Let a be the first term and d be the common difference.
 + \ldots + (a+4d) + 90 = (a+5d) + (a+6d) + \ldots (a+9d))
The a's cancel, leaving 
or 
. Solving, 
.
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