GRE Exam  >  GRE Questions  >  Directions: Select all the answer choices tha... Start Learning for Free
Directions: Select all the answer choices that apply.
Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?
Indicate all such numbers.
  • a)
    5
  • b)
    18
  • c)
    11
  • d)
    16
  • e)
    35
Correct answer is option 'A,C,E'. Can you explain this answer?
Most Upvoted Answer
Directions: Select all the answer choices that apply.Q. In a certain s...
Let the first term be x. then the series is....
X, 2X−3, 4X−9, 8X−218X -21 =19
8X =40
X =5
So putting X =5 the series is 5, 7, 11, 19, 35, 67...............
So 5, 11 and 35..
or 
The 4th term is 19.
5th term is (19*2)-3 = 35
the 3rd term is (19+3)/2 = 11
similarly 2nd and 1st term is respectively 7 and 5.
 
Free Test
Community Answer
Directions: Select all the answer choices that apply.Q. In a certain s...
Given information:
- The sequence is defined by multiplying the preceding term by 2 and then subtracting 3 from the product.
- The 4th term in the sequence is 19.

To find:
Which numbers are in the sequence?

Solution:

1. We can start by working backwards to find the 3rd term in the sequence.
- Let's assume the 3rd term is 'x'.
- According to the given information, the 4th term is obtained by multiplying the 3rd term by 2 and subtracting 3 from the product. So, the equation becomes: 2x - 3 = 19.
- Solving this equation, we get: 2x = 22 and x = 11.
- Therefore, the 3rd term in the sequence is 11.

2. Now, let's find the 2nd term in the sequence.
- Assuming the 2nd term is 'y', we can use the same logic as before.
- The 3rd term is obtained by multiplying the 2nd term by 2 and subtracting 3 from the product. So, the equation becomes: 2y - 3 = 11.
- Solving this equation, we get: 2y = 14 and y = 7.
- Therefore, the 2nd term in the sequence is 7.

3. Finally, let's find the 1st term in the sequence.
- Assuming the 1st term is 'z', we can use the same logic as before.
- The 2nd term is obtained by multiplying the 1st term by 2 and subtracting 3 from the product. So, the equation becomes: 2z - 3 = 7.
- Solving this equation, we get: 2z = 10 and z = 5.
- Therefore, the 1st term in the sequence is 5.

4. Now that we have found the first three terms of the sequence (5, 7, 11), we can determine which of the given answer choices are in the sequence.
- The sequence is formed by multiplying each term by 2 and subtracting 3 from the product.
- Checking the answer choices, we find that 5, 11, and 35 satisfy this property.
- Therefore, the numbers 5, 11, and 35 are in the sequence.

Answer:
The numbers 5, 11, and 35 are in the sequence.
Attention GRE Students!
To make sure you are not studying endlessly, EduRev has designed GRE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GRE.
Explore Courses for GRE exam

Similar GRE Doubts

Top Courses for GRE

Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer?
Question Description
Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer? for GRE 2024 is part of GRE preparation. The Question and answers have been prepared according to the GRE exam syllabus. Information about Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer? covers all topics & solutions for GRE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer?.
Solutions for Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GRE. Download more important topics, notes, lectures and mock test series for GRE Exam by signing up for free.
Here you can find the meaning of Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer?, a detailed solution for Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer? has been provided alongside types of Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Select all the answer choices that apply.Q. In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?Indicate all such numbers.a)5b)18c)11d)16e)35Correct answer is option 'A,C,E'. Can you explain this answer? tests, examples and also practice GRE tests.
Explore Courses for GRE exam

Top Courses for GRE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev