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Q. If there is a generation gap of $30 yr$, then
Statement I Total number of generations are $20$ over $300 \,yr$.
Statement II The number of person's ancestors for the $10^{\text {th }}$ generation is $1024$ .

Sequences and Series

Solution:

Total number of generations
$=\frac{\text { Total number of years }}{\text { Generation gap }} $
$=\frac{300}{30}=10$
Hence, Statement I is false.
The number of person's ancestors for the first, second, third, ...... tenth generations are $2,4,8,16,32, \ldots \ldots 1024$. Hence, Statement II is true.