Question

15^th term of the A.P. `13/3, 9/3, 5/3,` ........ is:

Options

• 23

• `(-53)/3`

• –11

• `(-43)/3`

Answer 1

`bb((-43)/3)`

Explanation:

A.P. `13/3, 9/3, 5/3,` ........

a = `13/3`

d = t₂ − t₁

= `9/3 - 13/3`

= `(-4)/3`

T_n = a + (n – 1)d

T₁₅ = a + (15 – 1)d

= `13/3 + 14 xx ((-4)/3)`

= `13/3 - 56/3`

= `(-43)/3`