EWT | Academic Question

Questions
Question (1)
QN0010028
The explicit rule gives which sequence?
  • (A) 1, 5, 9, 13, …
  • (B) 5, 9, 13, 17, …
  • (C) 4, 8, 12, 16, …
  • (D) 3, 7, 11, 15, …

Correct Answer: B
Explanation:

For , .

Link:
Report Error
Question (2)
QN0010029
In an explicit formula for a sequence, the symbol represents:
  • (A) the value of the term
  • (B) the common difference
  • (C) the position number of the term
  • (D) the sum of terms

Correct Answer: C
Explanation:

represents the position number of the term.

Link:
Report Error
Question (3)
QN0010030
If , then the 25th term is:
  • (A) 49
  • (B) 50
  • (C) 51
  • (D) 47

Correct Answer: A
Explanation:

.

Link:
Report Error
Question (4)
QN0010031
The first term of the sequence defined by is:
  • (A) 7
  • (B) 5
  • (C) 2
  • (D) –5

Correct Answer: C
Explanation:

.

Link:
Report Error
Question (5)
QN0010032
Which term of the sequence is 97?
  • (A) 14th
  • (B) 15th
  • (C) 16th
  • (D) 17th

Correct Answer: C
Explanation:

.

Link:
Report Error
Question (6)
QN0010033
The sequence generated by is:
  • (A) 1, 4, 7, 10, …
  • (B) 3, 6, 9, 12, …
  • (C) 2, 5, 8, 11, …
  • (D) 1, 3, 5, 7, …

Correct Answer: A
Explanation:

Substituting gives 1, 4, 7, …

Link:
Report Error
Question (7)
QN0010034
The 100th term of the sequence is:
  • (A) 495
  • (B) 496
  • (C) 500
  • (D) 504

Correct Answer: B
Explanation:

.

Link:
Report Error
Question (8)
QN0010035
Which statement is true about an explicit rule?
  • (A) It always uses the previous term.
  • (B) It directly gives the value of any term.
  • (C) It can be used only for finite sequences.
  • (D) It cannot contain negative numbers.

Correct Answer: B
Explanation:

Explicit rules directly give any term.

Link:
Report Error
Question (9)
QN0010036
If , then equals:
  • (A) 24
  • (B) 25
  • (C) 26
  • (D) 27

Correct Answer: C
Explanation:

.

Link:
Report Error
Question (10)
QN0010037
Which number is NOT a term of the sequence ?
  • (A) 7
  • (B) 15
  • (C) 27
  • (D) 30

Correct Answer: D
Explanation:

, not a natural number.

Link:
Report Error
Excel With Tutors

Learn At Your Own Pace... Because, Everyone's Pace of Learning is Different...

ExcelWithTutors

A unit of Innovexcel Edu Solution LLP.

SWIFT, RELIABLE & CONVENIENT..


Social Media

Corporate Office :
Bharat Impact Building, C-26, Sector - 59, Noida, Uttar Pradesh - 201301, India

Excel With Tutors : A Perfect Tutoring Platform & Repository of Learning Materials. Matches the Best Tutor as Per Your Requirement.


© 2025 | ©Innovexcel Edu Solution LLP. All Rights Reserved.

Technology Partner: Indev Consultancy Pvt Ltd

Find a Tutor Join as Tutor