JAMIA 2026 Mathematics PYQ — Which of the following is an arithmetic progression (AP)?… | Mathem Solvex | Mathem Solvex
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JAMIA 2026 — Mathematics PYQ
JAMIA | Mathematics | 2026
Which of the following is an arithmetic progression (AP)?
Choose the correct answer:
A.
2,4,8,16,…
B.
2,5/2,3,7/2,…
(Correct Answer)
C.
0.2,0.22,0.222,0.2222,…
D.
0.2,0.4,0.8,1.0,…
Correct Answer:
2,5/2,3,7/2,…
Explanation
1. Definition Rule:
A sequence is called an Arithmetic Progression (AP) if the difference between any two consecutive terms (d=an+1−an) remains constant throughout the series. This constant is called the common difference.
2. Verify Each Option:
Option (a):2,4,8,16,…
4−2=2
8−4=4
The difference is not constant (2=4). (This is a Geometric Progression).
Option (b):2,25,3,27,…
a2−a1=25−2=21
a3−a2=3−25=21
a4−a3=27−3=21
The common difference (d=21) is constant. Thus, it forms an AP.
Option (c):0.2,0.22,0.222,…
0.22−0.2=0.02
0.222−0.22=0.002
The difference is not constant (0.02=0.002).
Option (d):0.2,0.4,0.8,1.0,…
0.4−0.2=0.2
0.8−0.4=0.4
The difference is not constant (0.2=0.4).
Correct Answer
Option (b) 2,5/2,3,7/2,…
Explanation
1. Definition Rule:
A sequence is called an Arithmetic Progression (AP) if the difference between any two consecutive terms (d=an+1−an) remains constant throughout the series. This constant is called the common difference.
2. Verify Each Option:
Option (a):2,4,8,16,…
4−2=2
8−4=4
The difference is not constant (2=4). (This is a Geometric Progression).
Option (b):2,25,3,27,…
a2−a1=25−2=21
a3−a2=3−25=21
a4−a3=27−3=21
The common difference (d=21) is constant. Thus, it forms an AP.
