Question

The first term of AP is 5 and common difference is-2 then what is the 10 th term

Answer 1

Answer :-

The 10ᵗʰ term of an A.P. is 13.

Step-by-step explanation:

To Find :-

• The 10ᵗʰ term of A.P.

We have, [Given] :-

• The first term of an A.P. = 5
• Common difference = - 2

We know,

tₙ = a + (n - 1)d,

Where,

• tₙ = nth term
• a = first term
• n = number of term
• d = common difference.

A . T . Q,

⇒ tₙ = a + (n - 1)d

⇒ t₁₀ = 5 + (10 - 1)-2

⇒ t₁₀ = 5 + (9)-2

⇒ t₁₀ = 5 + (- 18)

⇒ t₁₀ = 5 - 18

⇒ t₁₀ = - 13

⠀⠀⠀⠀⠀ ∴ The 10ᵗʰ term of A.P. is 13.

Formula used :-

• tₙ = a + (n - 1) d