Question

Find t12 of the A
. P 3,6,9,12

Answer 1

Correct Question :-

Find t₁₂ of A.P. of 3, 6, 9, 12 .. .. ..

Answer

• The 12ᵗʰ term of the A.P. is 36.

Step-by-step explanation:

To Find :-

• The 12th term of A.P. 3, 6, 9, 12 ...

★ Solution

Given Arithmetic progression,

3, 6, 9, 12 . . . . . . .

∴ First term and common difference of the A.P. :-

First term = 3

And

Common difference :-

→ 6 - 3 = 3

→ 9 - 6 = 3

→ 12 - 9 = 3

Hence, The common difference is 3.

Now, According the question,

• The t₁₂ is :-

We know,

tₙ = a + (n - 1)d,

Where,

• tₙ = nth term
• a = first term
• n = number of terms
• d = Common difference

Therefore,

⇒ tₙ = a + (n - 1)d

⇒ t₁₂ = 3 + (12 - 1)3

⇒ t₁₂ = 3 + 11*3

⇒ t₁₂ = 3 + 33

⇒ t₁₂ = 36

Hence, The 12ᵗʰ term of A.P. is 36.