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DSSSB TGT Sequences — practice questions

Explore 85 free Sequences questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sequences questions and exercises with answers

Showing questions 1–30 of 85.

A list of numbers arranged in a particular order is called a:Read the answer and worked solution →The 5th term (t₅) of the sequence of odd numbers 1, 3, 5, 7, ... is:Read the answer and worked solution →The 6th triangular number is:Read the answer and worked solution →If the explicit rule for a sequence is uₙ = 3n + 2, find u₁₀:Read the answer and worked solution →Which of the following is a sequence with COMMON DIFFERENCE 4?Read the answer and worked solution →For the sequence 7, 12, 17, 22, …, what is the 20th term?Read the answer and worked solution →What is the explicit rule (formula) for the nth term of the sequence 4, 7, 10, 13, …?Read the answer and worked solution →What is the SUM of the first 10 natural numbers (1 + 2 + 3 + … + 10)?Read the answer and worked solution →In the sequence 1, 4, 7, 10, 13, …, what is the SUM of the first 5 terms?Read the answer and worked solution →In a sequence, t₅ = 17 and t₁₀ = 37. If it is arithmetic, what is the common difference?Read the answer and worked solution →Find the sum: 1 + 3 + 5 + 7 + … + 99 (first 50 odd numbers):Read the answer and worked solution →The distance between two points $P(x_1,y_1)$ and $Q(x_2,y_2)$ is:Read the answer and worked solution →The distance of the point $P(x,y)$ from the origin is:Read the answer and worked solution →The midpoint of the segment joining $(x_1,y_1)$ and $(x_2,y_2)$ is:Read the answer and worked solution →The distance between the origin and the point $(3,4)$ is:Read the answer and worked solution →The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:Read the answer and worked solution →The distance between the points $(1,2)$ and $(1,5)$ is:Read the answer and worked solution →The y-coordinate of any point lying on the x-axis is:Read the answer and worked solution →The x-coordinate of any point lying on the y-axis is:Read the answer and worked solution →The distance between the points $(a,b)$ and $(-a,-b)$ is:Read the answer and worked solution →The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:Read the answer and worked solution →The distance of the point $(-3,4)$ from the origin is:Read the answer and worked solution →The coordinates of the origin are:Read the answer and worked solution →In which quadrant does the point (−4, 7) lie?Read the answer and worked solution →A point lies on the x-axis when:Read the answer and worked solution →What are the coordinates of the origin?Read the answer and worked solution →Which point lies on the y-axis?Read the answer and worked solution →Identify the quadrant of the point (5, −3).Read the answer and worked solution →Find the distance between (1, 2) and (4, 6).Read the answer and worked solution →Find the distance of (3, 4) from the origin.Read the answer and worked solution →

Worked practice questions

A list of numbers arranged in a particular order is called a:

  1. Group
  2. Sequence
  3. Polynomial
  4. Equation
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Correct answer: B. Sequence

A sequence is an ordered list of numbers (or other objects). Each member of a sequence is called a term. **Examples:** natural numbers 1, 2, 3, 4, … squares 1, 4, 9, 16, … Fibonacci 1, 1, 2, 3, 5, 8, …

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The 5th term (t₅) of the sequence of odd numbers 1, 3, 5, 7, ... is:

  1. 7
  2. 9
  3. 11
  4. 13
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Correct answer: B. 9

Odd numbers form 1, 3, 5, 7, 9, 11, … . The 5th term is 9. Using the formula tₙ = 2n − 1: t₅ = 2(5) − 1 = 9.

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The 6th triangular number is:

  1. 15
  2. 21
  3. 28
  4. 36
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Correct answer: B. 21

Triangular numbers: 1 = 1, 3 = 1+2, 6 = 1+2+3, 10 = 1+2+3+4, 15 = 1+2+3+4+5, 21 = 1+2+3+4+5+6. So T₆ = 21. (Formula Tₙ = n(n+1)/2 gives T₆ = 6·7/2 = 21.)

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More Mathematics topics

Binomial TheoremGeometryProbability & StatisticsSequences and SeriesVectors & 3D GeometryProbabilityCorrelation and RegressionLinear Programming