Question

U

(08.08)
Graph the six terms of a finite sequence where a1 = 5 and r = 1.25. (2 points)
{(1,6.25),(2,7.813), (3, 9.766),(4,12 207).(5, 15.259), (6, 19.073) }
20
15
10

Answer 1

Explanation:

`a(n) = a1 *(1.25)^((n-1))`

`a(1) = 5`

`a(2) = 5*(1.25)^((2-1))\\a(2) = 5*(1.25)^(1)\\a(2) = 5*(1.25)\\a(2) = 6.25`

`a(3) = 5 * (1.25)^((3-1)) \\a(3) = 5 * (1.25)^(2)\\a(3) = 5 * 1.565\\a(3) = 7.813`

`a(4) = 5* (1.25)^((4-1))\\ a(4) = 5* (1.25)^(3)\\a(4) = 5* 1.953\\a(4) = 9.766`

`a(5) = 5 * (1.25)^((5-1))\\a(5) = 5 * (1.25)^(4)\\a(5) = 5 * 2.441\\a(5) = 12.207`

`a(6) = 5 * (1.25)^(5)\\a(6) = 5 * 3.052\\a(6) = 5 * 3.0517\\a(6) = 15.259`

`a(1) = 5`

`a(2) = 6.25`

`a(3) = 7.813`

`a(4) = 9.766`

`a(5)=12.207`

`a(6)=15.259`