Progressions Part

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Progressions Part - 5

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Weekly Quiz Competition

Question 1
1 / -0

If = 7, then the value of 'n' is

A
35

B
10

C
37

D
None of these
Question 2
1 / -0

If a, b, c are in A.P and a², b², c² are in H.P, then

A
a = b = c

B
b² =

C
2b = 3a + c

D
None of these
Question 3
1 / -0

The sum of first two terms of an infinite GP is 1 and every term is twice the sum of the successive terms. Which of the following represents the value of the first term?

A
1/3

B
2/3

C
3/4

D
1/4

E
2/4
Question 4
1 / -0

The value of 2. is

A
2357/1000

B
2355/999

C
2355/1111

D
None of these
Question 5
1 / -0

The sum of squares of first 'n' even natural numbers is

A

B

C

D
Question 6
1 / -0

If a, b, c are in AP and b - a, c - b, a are in GP, then a : b : c is

A
1 : 2 : 3

B
3 : 2 : 1

C
2 : 3 : 4

D
1 : 2 : 4
Question 7
1 / -0

Sum of three numbers in a GP is 14. If 1 is added to the first and second terms and 1 is subtracted from the third term, the new numbers are in AP. The smallest number among these numbers is

A
2

B
4

C
3

D
8
Question 8
1 / -0

If A₁, A₂ are two AM's (Arithmetic means), G₁, G₂ are two GM's (Geometric means) and H₁, H₂ are two HM's (Harmonic means) of two numbers, then is equal to

A

B

C

D
Question 9
1 / -0

The first and the second terms of a G.P. are x^-⁴ and xⁿ, respectively. If x⁵² is the eighth term of the same progression, then 'n' is equal to

A
3

B
4

C
5

D
6

E
7
Question 10
1 / -0

If A.M between the two numbers is 3 times their geometric mean, the numbers are in the ratio

A
3+2√2 : 3-2√2

B
2+√3 : 2-√3

C
3+√2 : 3-√2

D
√2+1 : √2-1
Question 11
1 / -0

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

A
x²+ 18x + 16 = 0

B
x²- 18x + 16 = 0

C
x²+ 18x - 16 = 0

D
x²_^-18x - 16 = 0
Question 12
1 / -0

If a, b, c are in G.P, then log_a , log_b , log_c are in

A
A.P

B
G.P

C
H.P

D
None of these
Question 13
1 / -0

The sum of first n terms of the series 1/2 + 3/4 + 7/8 + 15/16 + ...... is equal to

A
2ⁿ - n + 1

B
1 - 2^-n

C
n + 2^-n - 1

D
2ⁿ - 1

E
None of the above
Question 14
1 / -0

The sum to n terms of the series is

A

B

C

D
None of these
Question 15
1 / -0

The n^th terms of the two series: 3 + 10 + 17 + ........ and 63 + 65 + 67 + ......... are equal. Then, the value of 'n' is

A
9

B
13

C
17

D
19

E
None of these