\(Z = 1 + \frac{1}{5} + \frac{3}{{{5^2}}} + \frac{7}{{{5^3}}} + \frac{{14}}{{{5^4}}} + \frac{{25}}{{{5^5}}} + \frac{{41}}{{{5^6}}} + ...,\) Value of Z lies between?

1
2 < Z < 3
2
1.5 < Z < 2
3
1 < Z < 1.5
4
2.5 < Z < 3

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