EWT | Academic Question

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Question (21)
QN0010124
Find the 8th term of the GP 1, 2, 4, 8, …
  • (A) 64
  • (B) 128
  • (C) 256
  • (D) 512

Correct Answer: B
Explanation:

.

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Question (22)
QN0010125
The sequence 100, 50, 25, 12.5, … is a GP because:
  • (A) terms increase equally
  • (B) consecutive terms differ by 50
  • (C) consecutive terms have equal ratio
  • (D) terms are squared

Correct Answer: C
Explanation:

Common ratio is .

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Question (23)
QN0010126
If and , then the 4th term of the GP is:
  • (A) 54
  • (B) 81
  • (C) 162
  • (D) 243

Correct Answer: C
Explanation:

.

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Question (24)
QN0010127
A bacteria colony triples every hour. This pattern forms:
  • (A) arithmetic progression
  • (B) geometric progression
  • (C) triangular sequence
  • (D) square sequence

Correct Answer: B
Explanation:

Multiplication by a fixed number forms a GP.

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Question (25)
QN0010128
Which term of the GP 2, 10, 50, 250, … is 6250?
  • (A) 4th
  • (B) 5th
  • (C) 6th
  • (D) 7th

Correct Answer: C
Explanation:

.

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Question (26)
QN0010129
The GP has common ratio:
  • (A) 2
  • (B)
  • (C)
  • (D)

Correct Answer: B
Explanation:

.

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Question (27)
QN0010130
Which of the following cannot represent a GP?
  • (A) 1, 3, 9, 27
  • (B) 16, 8, 4, 2
  • (C) 5, 15, 45, 90
  • (D) 2, 6, 18, 54

Correct Answer: C
Explanation:

Ratios are not equal throughout.

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Question (28)
QN0010131
Find the 9th term of the GP 3, 6, 12, 24, …
  • (A) 384
  • (B) 512
  • (C) 768
  • (D) 1024

Correct Answer: C
Explanation:

.

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