EWT | Academic Question

Questions
Question (1)
QN0010104
A geometric progression is a sequence in which:
  • (A) consecutive terms differ by a fixed number
  • (B) consecutive terms have a fixed ratio
  • (C) terms increase by squares
  • (D) terms decrease by subtraction only

Correct Answer: B
Explanation:

In a GP, consecutive terms have a fixed ratio.

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Question (2)
QN0010105
Which of the following is a geometric progression?
  • (A) 2, 4, 6, 8, …
  • (B) 3, 9, 27, 81, …
  • (C) 1, 4, 9, 16, …
  • (D) 5, 10, 15, 20, …

Correct Answer: B
Explanation:

Each term is multiplied by 3.

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Question (3)
QN0010106
The common ratio of the GP 5, 15, 45, 135, … is:
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: B
Explanation:

.

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Question (4)
QN0010107
Find the 5th term of the GP 2, 6, 18, 54, …
  • (A) 108
  • (B) 144
  • (C) 162
  • (D) 216

Correct Answer: C
Explanation:

.

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Question (5)
QN0010108
In a GP, the ratio of any term to its previous term is called:
  • (A) common difference
  • (B) common ratio
  • (C) mean ratio
  • (D) term factor

Correct Answer: B
Explanation:

The fixed ratio is called common ratio.

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Question (6)
QN0010109
The first term of a GP is 4 and the common ratio is 2. The sequence is:
  • (A) 4, 6, 8, 10, …
  • (B) 4, 8, 16, 32, …
  • (C) 4, 12, 20, 28, …
  • (D) 4, 16, 64, 256, …

Correct Answer: B
Explanation:

Each term is multiplied by 2.

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Question (7)
QN0010110
Find the common ratio of the GP 81, 27, 9, 3, …
  • (A)
  • (B)
  • (C) 3
  • (D) 9

Correct Answer: B
Explanation:

.

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Question (8)
QN0010111
Find the 4th term of the GP 7, 14, 28, 56, …
  • (A) 56
  • (B) 84
  • (C) 98
  • (D) 112

Correct Answer: A
Explanation:

Common ratio is 2.

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Question (9)
QN0010112
Which of the following is NOT a GP?
  • (A) 1, 2, 4, 8, …
  • (B) 3, 6, 12, 24, …
  • (C) 2, 5, 10, 20, …
  • (D) 9, 3, 1, , …

Correct Answer: C
Explanation:

Ratios are not equal.

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Question (10)
QN0010113
Find the 6th term of the GP 1, 3, 9, 27, …
  • (A) 81
  • (B) 162
  • (C) 243
  • (D) 729

Correct Answer: C
Explanation:

.

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