Question 1

If 2, x , 8 are the successive terms of a GP.the value of x is
A)5
B)4
C)-4
D)± 4

Accepted Answer

In a geometric progression (GP), the ratio between any two successive terms is constant. Given 2, x, 8 as successive terms, the common ratio (r) can be found using $r = \frac{x}{2} = \frac{8}{x}$. Solving for x, we get $x^2 = 16$, which gives $x = ±4$.

Question 2

Common ratio of the G.P. 1, 1/3,1/9,1/27 …………….is
A)3
B)1/3
C)1/6
D)6

Accepted Answer

The common ratio of a geometric progression (G.P.) is found by dividing any term by its preceding term. For the given G.P. 1, 1/3, 1/9, 1/27, the common ratio is 1/3 divided by 1, which equals 1/3.

Question 3

The A M of a and b is ……..
A)+2
B)ab
C)a + b

Accepted Answer

The answer of The A M of a and b...

Question 4

The sum of the value of 1,2,………………20 is
A)500
B)210
C)420
D)520

Accepted Answer

The sum of the first n natural numbers is given by the formula n(n + 1)/2. For n = 20, the sum is 20(20 + 1)/2 = 210.

Question 5

The sum n term of an A P with first term a and common difference d is
A)Na
B)n/2 [2a +(n-1)d]
C)A + (n-1)d
D)? 1 ? 1

Accepted Answer

The sum of n terms of an arithmetic progression (AP) is given by the formula S_n = n/2 [2a + (n-1)d], where a is the first term, d is the common difference, and n is the number of terms. This formula is derived from the fact that the sum of an arithmetic series can be found by multiplying the average of the first and last term by the number of terms.

Quiz 3: Understanding Sequences and Arithmetic Progressions

If 2, x , 8 are the successive terms of a GP.the value of x is

Common ratio of the G.P. 1, 1/3,1/9,1/27 …………….is

The A M of a and b is ……..

The sum of the value of 1,2,………………20 is

The sum n term of an A P with first term a and common difference d is