Question
State whether statement are True or False.
Two sequences cannot be in both A.P. and G.P. together.
Two sequences cannot be in both A.P. and G.P. together.
✓
Answer
True.
Solution:
Let us consider G.P, a, ar and ar2
If it is in A.P then $\text{ar}-\text{a}\neq\text{ar}^2-\text{ar}$
Hence, the given statement is True.
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
If there are two events A and B associated with any random experiment, then $P ( A \cup B )= P ( A )+ P ( B )- P$ $( A \cap B$ ).
→If $A \not \subset B$ and $B \not \subset C$ , then $A \not \subset C$. If it is true, prove it. If it is false, give an example.
→The shortest distance from the point (2, -7) to the circle x2 + y2 - 14x - 10y - 151 = 0 is equal to 5.
[Hint: The shortest distance is equal to the difference of the radius and the distance between the centre and the given point]
[Hint: The shortest distance is equal to the difference of the radius and the distance between the centre and the given point]
State which of the following statements is True or False.
Graph of $\text{y}\geq0$ is:
→Graph of $\text{y}\geq0$ is:
2 is not a complex number.
Let z1 and z2 be two complex numbers such that |z1 + z2| = |z1| + |z2|, then arg(z1 - z2) = 0.
The distance between points $\text {P(-2,3,1)}$ and $\text {Q (2,1,2)}$ is 21 unit.
→If x $\in$ A and A $\in$ B , then x $\in$ B. If it is true, prove it. If it is false, give an example.
→If the sum of n terms of a sequence is quadratic expression, then it always represents an A.P.
Graph of $\text{y}\geq0$ is:
.PNG)
→