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Find the r^(th) term of the series ...

Find the ` r^(th)` term of the series
` (2)/(4) + (4)/(4^(2)) + (6)/(4^(3)) + …`

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Given series is
` 3 - 6 +9-12+…`
`= 3 (1) +6(-1) +9(-1)^(2) +12 (-1)^(3) +…`
Now , `a_(15^(th) "term of " 3, 6, 9,…)xx(15^(th)"term of " 1, -1,(-1)^(2),…)-`
` = 45 xx(-1)^(14)`
= 45
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