Write the first five terms of each of the following sequences whose nth terms are :
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
(i)
Put n = 1
A1 = 3(1) + 2 = 3+2=5
Put n = 2
A2 = 3(2) + 2=8
Put n = 3
A3 = 3(3) + 2 = 9+2=11
Put n = 4
A4 = 3(4) +2 = 12+2=14
Put n =5
A5 = 3(5) + 2 = 15+2=17
(ii)
Put n = 1
A1= =
Put n = 2
A2= = 0
Put n = 3
A3= =
Put n = 4
A4= =
Put n = 5
A5= =
= 1
(iii)
Put n = 1
A1= 31= 3
Put n = 2
A2= 32= 9
Put n = 3
A3= 33= 27
Put n = 4
A4= 34= 81
Put n = 5
A5= 35= 243
(iv)
Put n = 1
A1= =
=
Put n = 2
A2= =
=
Put n = 3
A3= =
=
Put n = 4
A4= =
=
= 2
Put n = 5
A5 = =
=
(v)
Put n = 1
A1= (-1)1.21 = (-1).2 = -2
Put n = 2
A2= (-1)2.22 = (1).4 = 4
Put n = 3
A3= (-1)3.23 = (-1).8 = -8
Put n = 4
A4= (-1)4.24 = (1).16 = 16
Put n = 5
A5= (-1)5.25 = (-1).32 = -32
(vi)
Put n = 1
A1= =
Put n = 2
A2= = 0
Put n = 3
A3= =
Put n = 4
A4= =
= 4
Put n = 5
A5= =
(vii)
Put n = 1
A1= (1)2 – 1+1 = 1
Put n = 2
A2= (2)2 -2+1 = 3
Put n = 3
A3= (3)2 -3+1 = 9-2 = 7
Put n = 4
A4 = (4)2 -4+1 = 16-3 = 13
Put n = 5
A5= (5)2 – 5+1 = 25-4 = 21
(viii)
Put n = 1
A1= 2(1)2– 3(1) + 1 = 2-3+1 = 0
Put n = 2
A2= 2(2)2 – 3(2) + 1 = 8-6+1 = 3
Put n = 3
A3= 2(3)2 – 3(3) + 1 = 18-9+1 = 10
Put n = 4
A4= 2(4)2 – 3(4) + 1 = 32-12+1 = 21
Put n = 5
A5= 2(5)2 – 3(5) + 1 = 50-15+1 = 36
(ix)
Put n = 1
A1= =
Put n = 2
A2= =
Put n = 3
A3= =
=
Put n = 4
A4= =
Put n = 5
A5= =