<u>QUESTION 1 ANSWER</u>
The series is
So the nth term of this sequence is
We generate some few terms of the sequence as follows:
When ,
The first term of the sequence becomes,
When ,
When ,
The constant difference is .
The sum of the series is given by,
There are 15 terms in the series, therefore
<u>ANSWER TO QUESTION 2</u>
The bottom row has boxes. This means
a) Since each row has 3 fewer boxes .
The nth row is given by,
The top row is the 6th row, meaning .
b) The number of boxes in the entire display is given by
Where , the first term(row) and
, the last term(row).
Since there are 6 rows,
<u>ANSWER TO QUESTION 3</u>
The number of visitors in the first week is .
Since the number of visitors each week is doubled the number of visitors in the subsequent weeks, the sequence is a geometric progression with a common ratio of .
The general term of a geometric sequence is
So in the 8th week, we have
Hence 640 people visited the website in the 8th week