Question

5,0.5,0.05,……. is an example for ……….​

Answer 1

They are dividing the previous number by 10 each time so the next number would be 0.005 0.0005 and so on hope I answered your question

Answer 2

$5,0.5,0.05,\ldots \:is \:an \:example \:for$

$\underline{\pink{Geometric \: progression (G.P)}}$

Explanation:

$First \:term (a) = a_{1} = 5$

$Second \:term (a_{2}) = 0.5$

$Third \:term (a_{2}) = 0.05$

$i) \frac{a_{2}}{a_{1}}$

$= \frac{0.5}{5}$

$= \frac{1}{10} \: --(1)$

$ii) \frac{a_{3}}{a_{2}}$

$= \frac{0.05}{0.5}$

$= \frac{1}{10} \: --(2)$

/* From (1) and (2), we get */

$\frac{a_{2}}{a_{1}} = \frac{a_{3}}{a_{2}} = \frac{1}{10}$

$\therefore Common \:ratio \:is \:equal$

$Given \: sequence \:is\:in \: G.P$

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