For an AP with first term $a$ and common difference $d$, the general form is
A$a,\ ad,\ ad^2,\ \ldots$
B$a,\ a-d,\ a-2d,\ a-3d$ only
C$a,\ 2a,\ 3a,\ \ldots$
D$a,\ a+d,\ a+2d,\ \ldots$
Answer & Solution
Correct answer: D. $a,\ a+d,\ a+2d,\ \ldots$
1. Each term is the previous term plus the common difference d.
2. Starting from a: a, a+d, a+2d, a+3d, …, which is the **general form of an AP**.
3. (Geometric progressions multiply by a fixed ratio instead.)
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch1 'Arithmetic Progressions' (general form)_
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