Question
1, 1, 1, 2, 2, 2, 3, 3, 3, ---- is an Arithmetic Progression or not?
✓
Answer
No, the sequence is not an Arithmetic Progression.
An arithmetic progression requires a constant common difference between consecutive terms. In this sequence, the difference between the first and second term is 1−1=0, but the difference between the fourth and third term is 2−1=1. Since the difference is not constant, it is not an arithmetic progression.
An arithmetic progression requires a constant common difference between consecutive terms. In this sequence, the difference between the first and second term is 1−1=0, but the difference between the fourth and third term is 2−1=1. Since the difference is not constant, it is not an arithmetic progression.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The following are quadratic equations in $x?$
$\text{2x}^2+\frac{5}{2}\text{x}-\sqrt{3}=0$
→$\text{2x}^2+\frac{5}{2}\text{x}-\sqrt{3}=0$
Find the $LCM$ and $HCF$ of $510$ and $92$ pairs of integers and verify that $LCM$ $\times$ $HCF =$ product of the two numbers.
→The graph of $y = p(x)$ in a figure given below, for some polynomial $p(x)$. Find the number of zeroes of $p(x)$.
→Fill in the blanks:
Porbability of an impossible event is .....
Porbability of an impossible event is .....
Write the general form of the quadratic equation.
Very-Short-Answer Questions:
Express $360$ as product of its prime factors.
→Express $360$ as product of its prime factors.
Find the values of $k$ so that the quadratic equation $x^2- 4kx + k = 0$ has equal roots.
→Write lower boundary of class $19.5-29.5$.
→Classify the following number as rational or irrational:
$5.636363...$
→$5.636363...$
In a simultaneous throw of pair of dice, find the probability of getting:
A sum greater than $9$.
→A sum greater than $9$.