Maths question from Panchayat Secretary (VLW) exam, 2025 by JKSSB
A sequence of natural numbers, every term is 6 more than twice the previous term. Which one of the following is true about this sequence?
Last updated May 30, 2026
Correct Answer:
Option B —
Except first term, each term of this sequence will always be even
Step-by-Step Explanation
Let us break down the rule for generating the next term in the sequence: "6 more than twice the previous term."
Analyze "twice the previous term": No matter what the previous number is (whether it is odd or even), multiplying it by 2 will always result in an even number.
Analyze "6 more than": Adding 6 (which is an even number) to that result means you are adding an even number to an even number.
The Rule of Addition: An even number plus an even number always equals an even number.
Why Option B is correct instead of Option D
The rule only applies to how a term is generated from the previous term. It does not dictate what the very first term has to be.
If the first term happens to be an odd number (like 3):
The second term will be 2 times 3 plus 6, which equals 12 (even).
The third term will be 2 times 12 plus 6, which equals 30 (even).
In this case, the first term is odd, but every single term after it is even.
If the first term happens to be an even number (like 4):
The second term will be 2 times 4 plus 6, which equals 14 (even).
In this case, every term (including the first) is even.
Because the first term can be odd, we cannot say that "each term" (which includes the first term) will always be even. However, we can absolutely guarantee that except for the first term, every single subsequent term will always be even.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
