Question : Directions: In the following question, a series is given, with one/two term(s) missing. Choose the correct alternative from the given ones that will complete the series.
$\frac{c}{6},\frac{e}{10},\frac{g}{14},\frac{i}{18},?$
Option 1: $\frac{k}{22}$
Option 2: $\frac{k}{11}$
Option 3: $\frac{p}{22}$
Option 4: $\frac{p}{11}$
Correct Answer: $\frac{k}{22}$
Solution :
Given:
$\frac{c}{6},\frac{e}{10},\frac{g}{14},\frac{i}{18},?$
Add 2 to the place value of the letters in the numerator and 4 to the denominator to obtain the next term –
$\frac{c}{6}$→$\frac{c+2}{6+4}=\frac{e}{10}$
$\frac{e}{10}$→$\frac{e+2}{10+4}=\frac{g}{14}$
$\frac{g}{14}$→$\frac{g+2}{14+4}=\frac{i}{18}$
$\frac{i}{18}$→$\frac{i+2}{18+4}=\frac{k}{22}$
So, $\frac{k}{22}$ is the missing term in the series. Hence, the first option is correct
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