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MTH101 Final Term Lectures 23-45

Calculus And Analytical Geometry PDF 596 KBUpdated 23 Oct 2026
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Final term past paper MTH101 Final Term Lectures 23-45 PDF 596 KB
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MTH101 Calculus And Analytical Geometry
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23 Oct 2026
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MTH101 FINAL 23 TO 45:

Lecture 23

Q1. What is the definition of a sequence in mathematics?

  • A) A set of numbers arranged in a specific order
  • B) A function whose domain is a set of consecutive integers
  • C) A mathematical notation for addition
  • D) A graphical representation of a function

Answer: B

Q2. Which of the following is an example of an arithmetic sequence?

  • A) 2, 4, 8, 16, 32
  • B) 3, 6, 12, 24, 48
  • C) 5, 10, 15, 20, 25
  • D) 1, 1, 2, 3, 5, 8

Answer: C

  1. In an arithmetic sequence, the common difference is:
  • A) The ratio between consecutive terms
  • B) The difference between consecutive terms

Answer: B

Q4. What is the formula to find the nth term of an arithmetic sequence?

  • A) \(a_n = a_1 \times d \times (n-1)\)
  • B) \(a_n = a_1 + d \times (n-1)\)
  • C) \(a_n = a_1 - d \times (n-1)\)
  • D) \(a_n = a_1 / d \times (n-1)\)

Answer: B

Q5. A sequence is defined recursively by \(a_1 = 2\) and \(a_{n+1} = a_n + 3\). What type of sequence is this?

  • A) Geometric sequence
  • D) Arithmetic sequence

Answer: D

Q6. Which of the following represents a geometric sequence?

  • A) 2, 5, 8, 11, 14
  • B) 3, 6, 12, 24, 48
  • C) 1, 4, 7, 10, 13
  • D) 10, 20, 30, 40, 50

Answer: B

Lecture 24

Q1. What is the definition of a geometric sequence?

  • A) A set of numbers where each term is the product of the previous term and a constant
  • B) A set of numbers arranged in a specific order
  • C) A function whose domain is a set of consecutive integers
  • D) A series of numbers that follow a specific addition pattern

Answer: A

Q2. Which of the following sequences is geometric?

  • A) 1, 2, 3, 4, 5
  • B) 3, 9, 27, 81
  • C) 2, 4, 6, 8, 10
  • D) 5, 10, 15, 20

Answer: B

  1. In a geometric sequence, the common ratio is:
  • A) The difference between consecutive terms
  • B) The ratio between consecutive terms

Answer: B

Q4. What is the formula to find the nth term of a geometric sequence?

  • A) \(a_n = a_1 \times r \times (n-1)\)
  • B) \(a_n = a_1 + r \times (n-1)\)
  • C) \(a_n = a_1 \times r^{(n-1)}\)
  • D) \(a_n = a_1 / r \times (n-1)\)

Answer: C

Q5. A sequence is defined recursively by \(a_1 = 5\) and \(a_{n+1} = 2a_n\). What type of sequence is this?

  • A) Arithmetic sequence
  • D) Geometric sequence

Answer: D

Q6. Which of the following represents an arithmetic sequence?

  • A) 2, 6, 18, 54

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