alleryStart learning →For the AP $5,\ 5,\ 5,\ 5,\ \ldots$ the common difference is
A5
B1
C0
Dundefined
Answer & Solution
Correct answer: C. 0
1. d = second term − first term = 5 − 5 = 0.
2. A common difference of **0** gives a constant AP (all terms equal).
3. d may be positive, negative or zero.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch1 'Arithmetic Progressions' (d can be zero)_
Keep practising Arithmetic Progressions
Browse all Arithmetic Progressions questions for Karnataka SSLC (Class 10), or explore more Mathematics topics.
Related questions
Key in the AP answerMatch each AP termFor the AP $10,\ 7,\ 4,\ \ldots$, the term that first becomes negative is theThe sum $2 + 4 + 6 + \cdots + 100$ (the first 50 even numbers) isA man's starting salary is ₹8000 with an annual increment of ₹500. His salary in the 6th yIf the sum of the first $n$ terms of a sequence is $S_n = n^2$, its $n$th term $a_n$ isIn an AP, the 3rd term is 12 and the 7th term is 24. The first term $a$ and common differeThe sum of the first $n$ natural numbers $1 + 2 + 3 + \cdots + n$ equals