Rewriting using sigma notation

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I need help rewriting in sigma notation. The index beginning starts with 1 and ends with 7. I can't figure out the formula to use. Thanks.

$$\dfrac{25}4 - \dfrac52 + 1 - \dfrac 25 + \dfrac 4{25} - \dfrac 8{125} + \dfrac{16}{625}$$

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Hint:

The first term is $\left(-\dfrac25\right)^{-2},$ and the last is $\left(-\dfrac25\right)^{4}.$

(I used a negative sign to get the terms alternating in sign.)