Question
Download Solution PDFIf nth terms of two A.P.’s are 3n + 8 and 7n + 15, then the ratio of their 12th terms will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
If a is the first term and d is the common difference of an AP. Then
The nth term of an AP is given by:
an = a + (n - 1) × d
Calculation:
Given: nth terms of two A.P.’s are 3n + 8 and 7n + 15.
Here, we have to find the ratio between their 12th terms.
So, 12th term in 1st AP:
(T12)1 = 3 × 12 + 8
⇒ (T12)1 = 36 + 8 = 44
⇒ (T12)1 = 44 ---(1)
Similarly, 12th term of 2nd AP:
⇒ (T12)2 = 7 × 12 + 15
⇒ (T12)2 = 84 + 15 = 99
⇒ (T12)2 = 99 ----(2)
∴ The required ratio = 44/99 = 4/9 = 4 ∶ 9
Last updated on May 26, 2025
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