A sequence with a_1 = 1 is defined by the recurrence relation a_n = 2a_{n - 1} for all natural numbers n. If a_{23} = 2^p, then what is p?
Sequence is defined as an = 2an-1
1 , 2 , 4 , 8 ....... etc
The nth term is given by 2^(n - 1)
So
a23 = 2^(23 -1) = 2^22 ⇒ p = 22
