SOLUTION: solve- 1+6+11+16+....+x=148

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Question 877961: solve-
1+6+11+16+....+x=148

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Formula for Arithmetic Series, or in which d is the common difference between sequence terms.

Your equation does not indicate the actual last term or its index. The formula using the common difference should be a good choice.

Your equation shows d=5 and .
, applying that second version of the formula.



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Discriminant: 9+4*5*296=5929, and sqrt(5929)=77.
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GENERAL SOLUTION FOR QUADRATIC EQUATION GIVES THIS RESULT...
, the PLUS-form makes sense.



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So what is x ?
x is the eighth term of the sequence.
General term of the sequence: ;
using n=8, ,

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You can fill-in the other terms if you want.


1+6+11+16+21+26+31+36=148

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