{an : n belongs N, an+1 =3an and a1 = 2} describe the above in roster form - Maths - Sets

Question

{an : n belongs N, an+1 =3an and
a1 = 2}
describe the above in roster form

Lovina Kansal · Accepted Answer

Dear sudent
We  have,a1=2 and an+1=3an for all n∈NPutting n=1 in an+1=3an , we geta2=3a1=3×2=6=2×3Putting n=2 in an+1=3an , we geta3=3a3=3×6=18=2×32Putting n=3 in an+1=3an , we geta3=3a2=3×18=54=2×33Putting n=4 in an+1=3an , we geta4=3a3=3×54=162=2×34and so on,,,,Hence A=a1,a2,a3,
=2×3,2×32,2×33,2×34,
Regards