EWT | Academic Question

Questions
Question (11)
QN0010087
Which term of the AP 2, 6, 10, 14, … is 58?
  • (A) 13th
  • (B) 14th
  • (C) 15th
  • (D) 16th

Correct Answer: C
Explanation:

.

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Question (12)
QN0010088
The sequence 20, 17, 14, 11, … is an AP because:
  • (A) terms are doubled
  • (B) terms increase equally
  • (C) consecutive terms differ by –3
  • (D) terms are squared

Correct Answer: C
Explanation:

Common difference is –3.

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Question (13)
QN0010089
Find the 25th term of the AP –2, 1, 4, 7, …
  • (A) 68
  • (B) 70
  • (C) 72
  • (D) 74

Correct Answer: B
Explanation:

.

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Question (14)
QN0010090
If the 7th term of an AP is 31 and the common difference is 4, then the first term is:
  • (A) 3
  • (B) 5
  • (C) 7
  • (D) 9

Correct Answer: C
Explanation:

.

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Question (15)
QN0010091
Which of the following cannot be an AP?
  • (A) 2, 5, 8, 11
  • (B) 10, 8, 6, 4
  • (C) 1, 3, 6, 10
  • (D) –4, –1, 2, 5

Correct Answer: C
Explanation:

Differences are not equal.

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Question (16)
QN0010092
The 18th term of the AP 100, 95, 90, 85, … is:
  • (A) 10
  • (B) 15
  • (C) 20
  • (D) 25

Correct Answer: B
Explanation:

.

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Question (17)
QN0010093
Find the common difference if the 12th term of an AP is 38 and the first term is 5.
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: B
Explanation:

.

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Question (18)
QN0010094
Which term of the AP 9, 15, 21, 27, … is 99?
  • (A) 14th
  • (B) 15th
  • (C) 16th
  • (D) 17th

Correct Answer: C
Explanation:

.

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Question (19)
QN0010095
In an AP, if and , then the AP is:
  • (A) increasing
  • (B) decreasing
  • (C) constant
  • (D) geometric

Correct Answer: C
Explanation:

Zero common difference gives constant terms.

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Question (20)
QN0010096
Find the 9th term of the AP 1.5, 3, 4.5, 6, …
  • (A) 12
  • (B) 13.5
  • (C) 15
  • (D) 16.5

Correct Answer: B
Explanation:

.

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