EWT | Academic Question

Questions
Question (1)
QN0010077
An arithmetic progression is a sequence in which:
  • (A) terms are multiplied by a fixed number
  • (B) each term differs from the previous term by a fixed number
  • (C) terms are squared successively
  • (D) each term is twice the previous term

Correct Answer: B
Explanation:

In an AP, consecutive terms differ by a fixed number.

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Question (2)
QN0010078
Which of the following is an arithmetic progression?
  • (A) 2, 4, 8, 16, …
  • (B) 5, 10, 15, 20, …
  • (C) 1, 4, 9, 16, …
  • (D) 3, 6, 12, 24, …

Correct Answer: B
Explanation:

Consecutive terms increase by 5.

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Question (3)
QN0010079
The common difference of the AP 11, 18, 25, 32, … is:
  • (A) 5
  • (B) 6
  • (C) 7
  • (D) 8

Correct Answer: C
Explanation:

.

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Question (4)
QN0010080
The 10th term of the AP 3, 7, 11, 15, … is:
  • (A) 35
  • (B) 37
  • (C) 39
  • (D) 41

Correct Answer: C
Explanation:

.

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Question (5)
QN0010081
In the formula , represents:
  • (A) number of terms
  • (B) common ratio
  • (C) common difference
  • (D) sum of terms

Correct Answer: C
Explanation:

is the common difference.

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Question (6)
QN0010082
Find the 15th term of the AP 8, 13, 18, 23, …
  • (A) 73
  • (B) 76
  • (C) 78
  • (D) 81

Correct Answer: C
Explanation:

.

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Question (7)
QN0010083
Which term of the AP 4, 9, 14, 19, … is 79?
  • (A) 14th
  • (B) 15th
  • (C) 16th
  • (D) 17th

Correct Answer: C
Explanation:

.

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Question (8)
QN0010084
The first term of an AP is 12 and the common difference is –3. The sequence is:
  • (A) increasing
  • (B) decreasing
  • (C) constant
  • (D) alternating

Correct Answer: B
Explanation:

Negative common difference gives a decreasing AP.

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Question (9)
QN0010085
The AP 7, 7, 7, 7, … has common difference:
  • (A) 0
  • (B) 1
  • (C) 7
  • (D) –7

Correct Answer: A
Explanation:

Consecutive terms differ by 0.

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Question (10)
QN0010086
Find the common difference of the AP: –5, –1, 3, 7, …
  • (A) 2
  • (B) 3
  • (C) 4
  • (D) 5

Correct Answer: C
Explanation:

.

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