Question

Can someone help, I don't get the question

Answer 1

`\\ \sf\longmapsto f(n)=(-5)f(n-1)+15`

Here

`\\ \sf\longmapsto D_f=(0,\infty)`

`\\ \sf\longmapsto f(1)=3`

`\\ \sf\longmapsto f(2)=(-5)f(1)+15=(-5)(3)+15=-15+15=0`

`\\ \sf\longmapsto f(3)=(-5)(0)+15=0+15=15`

`\\ \sf\longmapsto f(4)=(-5)(15)+15=-75+15=-60`

Answer 2

Explanation:

f(n) = (-5). f(n-1) +15

f(1) = 3

for n = 2

f(2) = (-5).(3)+15 = -15+15 = 0

for n = 3

f(3) = (-5).0 +15 = 0+15 = 15

for n = 4

f(4) = (-5).(15) + 15 = -75 +15 = -60

so, the sequences are :

3, 0, 15, -60