Question

Series: 45, 135, 255, 405, 585, 795

A = n^th term and B = (n + 1)^th term

Based on the above logic which of the following option is true?

I: Difference between the second term and first term is 30 less than the difference between the third term and second term.

II: Difference between the terms is multiple of 3.

III: B = 2A

1. I, II and III are true.
2. I and II
3. II and III
4. I and III
5. Only I

Answer 1

Correct Answer - Option 2 : I and II

Given:

Series: 45, 135, 255, 405, 585, 795

Calculation:

⇒ 135 = 45 + 90

⇒ 255 = 135 + (120 = 90 + 30)

⇒ 405 = 255 + (150 = 120 + 30)

⇒ 585 = 405 + (180 = 150 + 30)

⇒ 795 = 585 + (210 = 180 + 30)

Option I states that -

⇒ 90 = 120 - 30, which is true

Option II states that -

⇒ 90, 120, 150, 180, 210 are multiple of 3, which is true

Option III states that -

⇒ 135 ≠ 45 × 2 , which is false.

∴ From above, only options I and II are true.