Question

Find the position of 233 in the arithmetic sequence 1,9,17​

Answer 1

Answer:

The position of 233 in the given arithmetic progression is 30.

Step-by-step-explanation:

The given arithmetic progression is 1, 9, 17, ...

• t₁ = a = 1
• t₂ = 9
• t₃ = 17

∴ d = t₂ - t₁ = 9 - 1 = 8

We have to find the position of 233 in the given AP.

Now,

tₙ = a + ( n - 1 ) * d

⇒ 233 = 1 + ( n - 1 ) * 8

⇒ 233 - 1 = 8n - 8

⇒ 8n - 8 = 232

⇒ 8n = 232 + 8

⇒ 8n = 240

⇒ n = 240 ÷ 8

⇒ n = 30

∴ The position of 233 in the given arithmetic progression is 30.