CAT Exam > CAT Questions > The 15th term of the equation (5a + b)16 is:a...
Start Learning for Free
The 15th term of the equation (5a + b)16 is:
- a)2400a4b12
- b)3000a4b12
- c)2000a4b12
- d)2500a4b12
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)20...
In the expansion of (x + y)n, we can find the (k + 1)th term using binomial expansion.
We can find the (k + 1)th term using the formula given below:
We can find the (k + 1)th term using the formula given below:
the 15th term = t14 + 1
t15 = 120 x (5a)2 x b14
t15= 3000a2b14
Hence, option 3.
Most Upvoted Answer
The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)20...
Calculation for the 15th term of the equation (5a - b)^16:
Step 1: Finding the general term formula
- The general term formula for the expansion of (a + b)^n is given by nCr * a^(n-r) * b^r, where r is the term number starting from 0.
- In this case, the given equation is (5a - b)^16, so the general term formula becomes 16Cr * (5a)^(16-r) * (-b)^r.
Step 2: Finding the 15th term
- To find the 15th term, we substitute r = 14 in the general term formula.
- Therefore, the 15th term will be 16C14 * (5a)^(16-14) * (-b)^14.
- Simplifying further, we get 16C14 * (5^2 * a^2) * (-b)^14 = 120 * 25a^2 * b^14 = 3000a^2b^14.
Therefore, the 15th term of the equation (5a - b)^16 is 3000a^2b^14.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
Question Description
The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer?.
The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer?.
Solutions for The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct 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 The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The 15th term of the equation (5a + b)16 is:a)2400a4b12b)3000a4b12c)2000a4b12d)2500a4b12Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup