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How to find the arithmectic or geometric for this Q. -2/5+(-3/20)+1/10+7/20+...+8/5

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>> -2/5+(-3/20)+1/10+7/20+...+8/5

-8/20
-3/20
+2/20
+7/20
+ ...
+ 32/20

Did you notice that each number is '5/20' larger than the previous number?

Graph each pair:
(1,-8/20)
(2,-3/20)
(3,2/20)
(4,7/20)
and you will generate a straight line.

So: X(n) = ( n * 5 - 13 ) / 20
generates the required values.

Posted on Feb 24, 2015

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Input: -2/5-3/20+1/10+7/20+X+8/5
Result: X+3/2

Geometric Figure: Line

Alternate form: 1/2 (2X+3)

Posted on Oct 24, 2012

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