Question

A man collects the first day $Rs2$, second day $Rs4$, the third day $Rs8$, the fourth day $Rs16$, and so on. What will be the collection on the $10th$ day

Answer 1

$a_1=2$

$a_2=a_1\ast 2=2\ast 2=4$

$a_3=a_2\ast r=4\ast 2=8$

$a_4=a_3\ast r=8\ast 2=16$

$a_5=a_4\ast r=16\ast 2=32$

$a_6=a_5\ast r=32\ast 2=64$

$a_7=a_6\ast r=64\ast 2=128$

$a_8=a_7\ast r=128\ast 2=256$

$a_9=a_8\ast r=256\ast 2=512$

$a_{1}0=a_9\ast r=512\ast 2=1024$

On tenth day the collection wil be $Rs.1024/-$