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= =


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