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*3^(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 * r^(n-1)`

Using our information, we have
`g_n=5 * 3^(n-1)`