Question

Complete the series:

$3\mathrm{F},6\mathrm{G},11\mathrm{I},18\mathrm{L},.....$

Answer 1

Observe the pattern and complete the series.

Step 1: Observe the numbers in the given series to find a pattern.

Observe that the difference between the numbers in the series increases by successive odd numbers i.e, $3,5,7,9...$.

$$\begin{gathered} 3+3=6 \\ 6+5=11 \\ 11+7=18 \end{gathered}$$

Hence, the next number in the series will be $18+9=27$.

Step 2: Observe the letters in the given series to find a pattern.

Observe that the difference between the letters in the series increases by $1$.

$$\begin{gathered} \mathrm{F}+1=\mathrm{G} \\ \mathrm{G}+2=\mathrm{I} \\ \mathrm{I}+3=\mathrm{L} \end{gathered}$$

Hence, the next letter in the series will be $\mathrm{L}+4=\mathrm{P}$.

Therefore, the next term in the series will be $27\mathrm{P}$.

Hence, the complete series is $3\mathrm{F},6\mathrm{G},11\mathrm{I},18\mathrm{L},27P$.