Question

PLEASE HELP I REALLY NEED IT

Write an explicit formula for this table:

Hours: 1 2 3 4 5
Tweets: 5 15 75 225 675

Answer 1

The explicit formula would be $g_n=5\times3^{n-1}$

The sequence is geometric, since we are multiplying by a constant each time to get the next term.  The common ratio, r, is 3.  The first term, g₁, is 5.  An explicit formula for a geometric sequence is given by

$g_n=g_1 \times r^{n-1}$

Using our information, we have $g_n=5 \times 3^{n-1}$