SSC CGL Exam > SSC CGL Questions > What will be the 99th term from the end of th... Start Learning for Free
What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?
- a)1078
- b)1123
- c)12
- d)-61
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What will be the 99th term from the end of the AP 500, 489, 478, 467&h...
Understanding the Arithmetic Progression (AP)
The given AP is: 500, 489, 478, 467, ..., -1139.
Identifying the first term and common difference
- First Term (a): 500
- Common Difference (d): 489 - 500 = -11
Finding the nth term formula
The nth term of an AP can be calculated using the formula:
- nth Term (Tn) = a + (n-1)d
Finding the total number of terms
To find the total number of terms in the AP until -1139, we set Tn = -1139:
- -1139 = 500 + (n-1)(-11)
This simplifies to:
- -1139 - 500 = (n-1)(-11)
- -1639 = (n-1)(-11)
- n-1 = 149
- n = 150
Thus, the total number of terms (n) in the series is 150.
Finding the 99th term from the end
To find the 99th term from the end, we calculate the term at position:
- Position = n - 99 + 1 = 150 - 99 + 1 = 52
Now, we find the 52nd term:
- T52 = 500 + (52-1)(-11)
Calculating this gives:
- T52 = 500 + 51 * (-11) = 500 - 561 = -61
Conclusion
Therefore, the 99th term from the end of the AP is -61, which corresponds to option 'D'.
The given AP is: 500, 489, 478, 467, ..., -1139.
Identifying the first term and common difference
- First Term (a): 500
- Common Difference (d): 489 - 500 = -11
Finding the nth term formula
The nth term of an AP can be calculated using the formula:
- nth Term (Tn) = a + (n-1)d
Finding the total number of terms
To find the total number of terms in the AP until -1139, we set Tn = -1139:
- -1139 = 500 + (n-1)(-11)
This simplifies to:
- -1139 - 500 = (n-1)(-11)
- -1639 = (n-1)(-11)
- n-1 = 149
- n = 150
Thus, the total number of terms (n) in the series is 150.
Finding the 99th term from the end
To find the 99th term from the end, we calculate the term at position:
- Position = n - 99 + 1 = 150 - 99 + 1 = 52
Now, we find the 52nd term:
- T52 = 500 + (52-1)(-11)
Calculating this gives:
- T52 = 500 + 51 * (-11) = 500 - 561 = -61
Conclusion
Therefore, the 99th term from the end of the AP is -61, which corresponds to option 'D'.
Free Test
FREE
| Start Free Test |
Community Answer
What will be the 99th term from the end of the AP 500, 489, 478, 467&h...
In this case since we have to find the 99th term from the end.
We will consider the first term to be -1139 and the common difference will be 11
Now, a = -1139, d = 11 and n = 99
T99 = a + (n – 1)d
T99 = -1139 + (99 – 1)11
T99 = -1139 + 1078 = -61
The value of 99th term from the end is -61.
We will consider the first term to be -1139 and the common difference will be 11
Now, a = -1139, d = 11 and n = 99
T99 = a + (n – 1)d
T99 = -1139 + (99 – 1)11
T99 = -1139 + 1078 = -61
The value of 99th term from the end is -61.
 | Explore Courses for SSC CGL exam |  |
Top Courses for SSC CGLView all
Top Courses for SSC CGL
Question Description
What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer?.
What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer?.
Solutions for What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer?, a detailed solution for What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice What will be the 99th term from the end of the AP 500, 489, 478, 467… – 1139?a)1078b)1123c)12d)-61Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
| Explore Courses for SSC CGL exam | |
Top Courses for SSC CGL
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
