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GRE Arithmetic Progression — practice questions — page 3

Explore 117 free Arithmetic Progression questions in GRE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Arithmetic Progression questions and exercises with answers

Showing questions 61–90 of 117.

Which of the following is an AP?Read the answer and worked solution →Find the common difference of the AP 7, 11, 15, 19, …Read the answer and worked solution →For the AP 12, 9, 6, 3, …, what is d?Read the answer and worked solution →Is 1, 1, 1, 1, … an AP? If yes, what is d?Read the answer and worked solution →Find the 20th term of the AP 3, 8, 13, …Read the answer and worked solution →In an AP, a = 7 and d = −2. Find a₁₂.Read the answer and worked solution →The 4th term of an AP is 11 and the 10th term is 29. Find a and d.Read the answer and worked solution →How many terms are there in the AP 7, 13, 19, …, 205?Read the answer and worked solution →Is 150 a term of the AP 11, 8, 5, …?Read the answer and worked solution →Find n if the nth term of the AP −1, 3, 7, … is 95.Read the answer and worked solution →Find the sum of the first 20 terms of the AP 5, 9, 13, …Read the answer and worked solution →Sum the first 15 terms of the AP 3, 7, 11, …Read the answer and worked solution →Sum the AP 2 + 4 + 6 + … + 100.Read the answer and worked solution →How many terms of the AP 3, 6, 9, … add up to 84?Read the answer and worked solution →The sum of first n terms of an AP is Sₙ = 3n² + 5n. Find the 4th term a₄.Read the answer and worked solution →How many three-digit numbers are divisible by 7?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 between (−2, 1) and (3, 5).Read the answer and worked solution →Are the points A(1, 1), B(2, 3), C(3, 5) collinear?Read the answer and worked solution →Determine whether triangle with vertices A(0, 0), B(4, 0), C(0, 3) is right-angled.Read the answer and worked solution →Find x such that the distance from (x, 1) to (2, 3) is √8.Read the answer and worked solution →Find the midpoint of A(2, −3) and B(8, 5).Read the answer and worked solution →Find the point P that divides the segment joining A(1, 2) and B(7, 8) in the ratio 1 : 2.Read the answer and worked solution →The midpoint of segment AB is (4, 5). If A = (2, 3), what is B?Read the answer and worked solution →Find the point dividing the segment joining (4, −1) and (−2, −3) in the ratio 1 : 3.Read the answer and worked solution →

Worked practice questions

Which of the following is an AP?

  1. 3, 7, 11, 15, …
  2. 5, 10, 20, 40, …
  3. 2, 4, 8, 16, …
  4. 1, 4, 9, 16, …
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Correct answer: A. 3, 7, 11, 15, …

Compute consecutive differences. Only option B has the same difference each time (4). The others are a GP, perfect squares, and another GP, respectively.

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Find the common difference of the AP 7, 11, 15, 19, …

  1. 5
  2. 3
  3. 4
  4. 11
Show answer and solution

Correct answer: C. 4

d = 11 − 7 = 4. Verify with the next pair: 15 − 11 = 4.

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For the AP 12, 9, 6, 3, …, what is d?

  1. −3
  2. +12
  3. −6
  4. +3
Show answer and solution

Correct answer: A. −3

d = 9 − 12 = −3. A negative d means the AP is decreasing.

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More Mathematics topics

MathematicsStatistics and ProbabilitySets and RelationsQuadratic EquationsReal Numbers and PolynomialsUnit 1A1: Relations, Functions and GraphsUnit 6B: Definite Integration & Riemann SumsUnit 1B1: Limit Concepts and Graphical Limits