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GRE Arithmetic Progression — practice questions — page 2

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 31–60 of 117.

A bag has balls marked 0–9. Four balls drawn with replacement. Probability that **none** is marked '0' is:Read the answer and worked solution →Probability of bomb hitting target = 0.8. Out of 10 bombs dropped, probability that **exactly 2 miss** equals (with $p = 0.2$ miss):Read the answer and worked solution →If a_n = n(n+2), the third term of the sequence is:Read the answer and worked solution →For the sequence a_n = n/(n+1), the fifth term equals:Read the answer and worked solution →For a_n = 2^n, the sum of the first three terms is:Read the answer and worked solution →For a_n = (2n−3)/6, the value of a_4 is:Read the answer and worked solution →In an arithmetic progression, the nth term is given by:Read the answer and worked solution →In an AP, the common difference d is found as:Read the answer and worked solution →The sum of the first n terms of an AP is:Read the answer and worked solution →If the last term is l, the sum of the first n terms of an AP is:Read the answer and worked solution →The common difference of the AP 2, 5, 8, 11, … is:Read the answer and worked solution →The 10th term of the AP 2, 7, 12, … is:Read the answer and worked solution →Which of the following sequences is an arithmetic progression?Read the answer and worked solution →If the first term of an AP is 5 and the common difference is 3, its 4th term is:Read the answer and worked solution →The sum of the first 10 natural numbers (1, 2, 3, …, 10) is:Read the answer and worked solution →The sum of the first n positive integers is given by:Read the answer and worked solution →If the nth term of an AP is $a_n = 3n + 2$, its common difference is:Read the answer and worked solution →How many two-digit numbers are divisible by 3 (i.e. the AP 12, 15, …, 99)?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 →

Worked practice questions

A bag has balls marked 0–9. Four balls drawn with replacement. Probability that **none** is marked '0' is:

  1. $(1/10)^4$
  2. $(9/10)^4$
  3. $4(9/10)^4$
  4. $1 - (9/10)^4$
Show answer and solution

Correct answer: B. $(9/10)^4$

$p = 1/10$ for '0'; $q = 9/10$ for 'not 0'. $P(X = 0) = (9/10)^4 = 0.6561$.

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Probability of bomb hitting target = 0.8. Out of 10 bombs dropped, probability that **exactly 2 miss** equals (with $p = 0.2$ miss):

  1. ${}^{10}C_2 (0.2)^2 (0.8)^8$
  2. ${}^{10}C_2 (0.8)^2 (0.2)^8$
  3. $0.2 \times 10$
  4. $0.8 \times 10$
Show answer and solution

Correct answer: A. ${}^{10}C_2 (0.2)^2 (0.8)^8$

**Treat 'miss' as success:** $p = 0.2$. $P(2 \text{ misses out of 10}) = {}^{10}C_2 (0.2)^2 (0.8)^8 = 45 \times 0.04 \times 0.168 \approx 0.302$.

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If a_n = n(n+2), the third term of the sequence is:

  1. 8
  2. 15
  3. 12
  4. 18
Show answer and solution

Correct answer: B. 15

a_3 = 3(3+2) = 15.

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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