JAMIA 2026 — Mathematics PYQ
JAMIA | Mathematics | 2026For what value of k, the k+1, k+7, 2k is in AP?
Choose the correct answer:
- A.
7
- B.
6
- C.
13
(Correct Answer) - D.
14
13
Explanation
1. Understand the AP Condition:
If three terms a, b, and c form an Arithmetic Progression (AP), then the difference between consecutive terms must be equal:
b−a=c−b
Rearranging this formula gives the standard property for three terms in an AP:
2b=a+c
2. Substitute the Given Terms:
Here, the terms are:
a=k+1
b=k+7
c=2k
Plugging these into the property formula:
2(k+7)=(k+1)+2k
3. Solve for k:
Expand both sides of the equation:
2k+14=3k+1
Rearrange the terms to solve for k:
14−1=3k−2k
13=k
Thus, the value of k is 13.
Correct Answer
Option (c) 13
Explanation
1. Understand the AP Condition:
If three terms a, b, and c form an Arithmetic Progression (AP), then the difference between consecutive terms must be equal:
b−a=c−b
Rearranging this formula gives the standard property for three terms in an AP:
2b=a+c
2. Substitute the Given Terms:
Here, the terms are:
a=k+1
b=k+7
c=2k
Plugging these into the property formula:
2(k+7)=(k+1)+2k
3. Solve for k:
Expand both sides of the equation:
2k+14=3k+1
Rearrange the terms to solve for k:
14−1=3k−2k
13=k
Thus, the value of k is 13.
Correct Answer
Option (c) 13
