chelseamontgome chelseamontgome
  • 04-04-2018
  • Mathematics
contestada

write an explicit formula for this table
Hours: 1 2 3 4 5
Tweets: 5 15 75 225 675

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MsEHolt MsEHolt
  • 15-04-2018
The explicit formula would be [tex]g_n=5(3)^{n-1}[/tex].

This is a geometric sequence, since we are multiplying each term by a constant to find the next term.

The explicit formula for a geometric sequence is given by 
[tex]g_n=g_1(r)^{n-1}[/tex],
where g₁ is the first term and r is the common ratio, or the number that is multiplied to get the next term.

Our first term is 5, and the common ratio is 3.
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