(a)[4]
Complete the table by filling in the missing entries.
(b)[1]
Write down an expression giving the number of text messages sent on Day Number $n$.
(c(i))[2]
Show that her statement is correct.
(c(ii))[2]
Complete the statement. By the end of Day Number 5, the total number of text messages sent is ................. which is equal to $2^k - 2$ where $k = .................$.
(c(iii))[1]
Write down an expression for the total number of text messages sent by the end of Day Number $n$.
(c(iv))[1]
Find the Day Number at which the total number of text messages sent by the end of the day is 1022.