The ratio of the second term to the third term is 8 : 11. Find the fir

1.	The ratio of the second term to the third term is 8 : 11. Find the first term of the AP when the common difference is 3.1. 72. 63. 54. 4
Answer» Correct Answer - Option 3 : 5 Given: The ratio of the second term to the third term is 8 : 11. The common difference is 3. Formula Used: n-th term of an AP = a + (n - 1)d, where a is the first term, n is the total number of terms and d is the common difference. Calculation: Let the first term be a and the common difference be d Now, (a + d)/(a + 2d) = 8/11 ⇒ 11a + 11d = 8a + 16d ⇒ 3a = 5d ⇒ a = 5d/3 ⇒ (5 × 3)/3 ⇒ 5 ∴ The first term is 5

The ratio of the second term to the third term is 8 : 11. Find the first term of the AP when the common difference is 3.1. 72. 63. 54. 4

Answer» Correct Answer - Option 3 : 5

Given:

The ratio of the second term to the third term is 8 : 11.

The common difference is 3.

Formula Used:
n-th term of an AP = a + (n - 1)d, where a is the first term, n is the total number of terms and d is the common difference.

Calculation:

Let the first term be a and the common difference be d

Now, (a + d)/(a + 2d) = 8/11

⇒ 11a + 11d = 8a + 16d

⇒ 3a = 5d

⇒ a = 5d/3

⇒ (5 × 3)/3

⇒ 5

∴ The first term is 5