Progression

Q.

Question 4 (xiii)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xiii) $\sqrt{3},\sqrt{6},\sqrt{9},\sqrt{12},\dots$

Q. find the next term in the sequence 0, 2, 24, 252, ______ (1)620 (3)1040 (3)3120 (4)5430 (with solutions)

Q.

If 3 numbers a, b, c are in G.P., then $loga,logb,logc$ are in:

1. G.P

2. H.P

3. None of these

4. A.P

Q. The sequence $\frac{5}{\sqrt{7}},\frac{6}{\sqrt{7}},\sqrt{7},$ ....... is

1. A.P.
2. H.P.

3. None of these

4. G.P.

Q. Supposse $a,b,c$ are in A.P. and $a^2,b^2,c^2$ are in G.P. If $a<b<c$ and $a+b+c=\frac{3}{2}$, then the value of $a$ is

1. $\frac{1}{2\sqrt{2}}$
2. $\frac{1}{2\sqrt{3}}$
3. $\frac{1}{2}-\frac{1}{\sqrt{3}}$
4. $\frac{1}{2}-\frac{1}{\sqrt{2}}$

Q. Among the natural numbers $1$ to $49$. find the number for which the sum of all the preceeding number and the sum of all the succeeding number are equal.