CAT Exam  >  CAT Questions  >  1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c... Start Learning for Free
1, 8, 28, 99, 412, 2075, ____.
  • a)
    12450 
  • b)
    12462
  • c)
    10387
  • d)
    10375
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answ...
The 1st to 5th terms are 0, 5, 22, 57, 116.
These terms are 1 – 1, 8 – 3, 27 – 5, 64 – 7, 125 – 9.
i.e. 13 – 1, 23 – 3, 33 – 5, 43 – 7, 53 – 9
So, the nth term of the series: n3 – (2n – 1).
So, the 6th term of the series is 63 – (2 × 6 –1) = 216 – 11 = 205.
View all questions of this test
Most Upvoted Answer
1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answ...
8 = (1+7)*1;
28 = (8+6)*2;
99 = (28+5)*3;
412 = (99+4)*4;
(412+3)*5=2075
(2075+2)*6=12462
Free Test
Community Answer
1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answ...
Answer:

The given sequence is not following any particular pattern. However, we can observe that the numbers are increasing at a higher rate with each term. So, we can assume that the next term will also be a large number.

To find the next term of the sequence, we can use the following method:

- The difference between the first two terms is 8 - 1 = 7
- The difference between the second and third term is 28 - 8 = 20
- The difference between the third and fourth term is 99 - 28 = 71
- The difference between the fourth and fifth term is 412 - 99 = 313
- The difference between the fifth and sixth term is 2075 - 412 = 1663

We can see that the differences are increasing at a higher rate with each term. So, we can assume that the difference between the sixth and seventh term will be even higher than 1663.

Now, to find the seventh term, we can add the sixth term and the difference between the sixth and seventh term:

2075 + 1663 = 3738

Therefore, the next term in the sequence is 3738.

Hence, the correct answer is option B (12462) is incorrect.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Similar CAT Doubts

1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer?
Question Description
1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer?.
Solutions for 1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer?, a detailed solution for 1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of 1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 1, 8, 28, 99, 412, 2075, ____.a)12450b)12462c)10387d)10375Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

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