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Find the n^(th) term of the G. P. 5, 25...

Find the ` n^(th)` term of the G. P. 5, 25 , 125 , … . Also find its ` 10^(th)` term .

Text Solution

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Here , first term = a = 5 , common ratio = r = ` (25)/(5) = 5 `
` n^(th)` term of a G .P. is given by ` a_(n) = ar^(n-1)`
`therefore a_(n) = (5) xx(5)^(n-1) = 5^(1 + n - 1 = 5 ^(n)`
` rArr a_(n) = 5^(n)`
Now ` 10^(th)` term of G. P = ` a_(10) = 5 ^(10)`
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