GRE General Test Sequences, Probability and Counting Theory — practice questions
25 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice GRE General Test Sequences, Probability and Counting Theory in the app →A sequence is defined by the explicit formula a_n = -3n + 8. Which term of the sequence equals -22?A sequence is defined recursively by a_1 = 3 and a_n = 2a_(n-1) - 1 for n >= 2. What is the fifth term?A sequence is defined by a_n = (n + 1)!. What is its fourth term?In the Fibonacci sequence each term is the sum of the two preceding terms. The eighth term is 21 and the ninthA courier firm buys a van for $30,000 and expects to sell it for $12,000 after six years of straight-line deprA five-year-old receives a $2 weekly allowance, and each year it rises by $3 per week, so after n years the alHow many terms are in the finite arithmetic sequence 5, -2, -9, ..., -65?A stadium has 10 seats in the first row, 13 in the second, 16 in the third, and the pattern continues for all A new analyst earns $30,000 a year with a promised 3% raise at the end of every year. What is the annual salarA geometric sequence has first term 2 and fourth term 54. What is its third term?A school enrolls 500 students, and enrollment is estimated to grow 4% each year, so the roll after n years is After surgery, a woman walks 1 mile on the first Sunday and adds a quarter-mile every Sunday after that. What A vendor earns $100 in the first week of June and each following week earns $12.50 more than the week before. Evaluate the geometric series given by the sum of 3(2^k) for k = 1 to 5.A pendulum travels 3 feet on its first swing, and each later swing covers three-quarters of the distance of thAn infinite geometric series has first term 9 and common ratio 4/3. What can be said about its sum?The repeating decimal 0.777... can be written as the geometric series 0.7 + 0.07 + 0.007 + ... . Which fractioAt the beginning of each month, $200 is deposited into a retirement fund that earns 6% annual interest, compouFor a business trip, Priya packs 3 skirts and 5 blouses, and each day decides whether or not to add her one swTwelve sprinters enter a race. In how many different ways can the gold, silver, and bronze medals be awarded?A sundae bar offers 6 toppings, and any number of them may be chosen, including none. How many different sundaHow many distinct rearrangements can be made from the letters of the word CARRIER?An electronics store has 10 phones in stock and 4 of them are defective. A customer buys 2 phones chosen at raTwo six-sided number cubes are rolled and the faces are summed. What is the probability that the sum is less tA six-sided number cube is rolled once. What is the probability of rolling a number greater than 2?