Write the arithmetic progression when first term a and common difference of d are as follows:

Question

Write the arithmetic progression when first term a and common difference of d are as follows: (i) (ii) (iii)

Philoid · Accepted Answer

(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 =