Write the arithmetic progression when first term a and common difference of d are as follows:
(i)
(ii)
(iii)
(i)
a1= 4, d= -3
A2= a1+ d = 4-3 =1
A3= a1+ 2d = 4+ 2(-3) = 4-6 = -2
A4= a1 =3d = 4+ 3(-3) = 4-9 = -5
Series = 4, 1, -2, -5,…
(ii)
a1= -1, d =
A2= a1 + d = -1 + =
A3= a1 + 2d = -1 + 1 = 0
A4= a1 + 3d = -1 + =
Series = -1, , 0,
,…
(iii)
a1= -1.5, d= -0.5
A2= a1+ d = -1.5 – 0.5 = -2
A3= a1+ 2d = -1.5 + 2(-0.5) = -1.5 – 1 = -2.5
A4= a1+ 3d = -1.5 + 3(-0.5) = -1.5 – 1.5 = -3
Series =