Question

The math term of G. P tn=2(0.5)^n-1 then r=

Answer 1

We know that ,

If a and r are first term and common ratio of a G.P .

$\boxed { \pink {n^{th} \: term = t_{n} = a \times r^{n-1} }}$

$Compare \: t_{n} = 2 \times (0.5)^{n-1} \:with \\the \: formula \: above , \:we \: get$

$a = 2\: and \: r = 0.5$

Therefore.,

$\red { Value \: of \: r } \green {= 0.5}$

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