If the sum to infinity of the series \[ 1-(1+d) \cdot \frac{1}{3}+(...

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If the sum to infinity of the series
\[
1-(1+d) \cdot \frac{1}{3}+(1+2 d) \cdot \frac{1}{9}-(1+3 d) \cdot \frac{1}{27}+\ldots \ldots . . \text { is } \frac{9}{16} \text {, find } d .
\]
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