Mathematics
Grade10
Easy
Question
Which term will be the middle term of (xyz – x)2n?
- (n + 1)th term
- (n + 2)th term
- nth term
- (n – 1)th term
The correct answer is: (n + 1)th term
STEP BY STEP SOLUTION
Clearly, 2n is an even number, and the binomial has 2n + 1 terms.
The middle term for a binomial with even power is the term equal to (n/2 + 1), where n is the number of terms.
In this case, (2n/2 + 1) = n + 1.
In this case, (2n/2 + 1) = n + 1.
Related Questions to study
Mathematics
What do we get after factorizing x2 + 6x - 27?
What do we get after factorizing x2 + 6x - 27?
MathematicsGrade10
Mathematics
Find the value of k if x - 3 is a factor of 5x3 - 2x2 + x + k.
Find the value of k if x - 3 is a factor of 5x3 - 2x2 + x + k.
MathematicsGrade10
Mathematics
What is the value of n, if the coefficients of the second term of (x – y)3 is equal to the third term of the expansion (x + y)n?
What is the value of n, if the coefficients of the second term of (x – y)3 is equal to the third term of the expansion (x + y)n?
MathematicsGrade10
Mathematics
Find the 7th term.
Find the 7th term.
MathematicsGrade10
Mathematics
The degree of the polynomial 8 is ___________.
The degree of the polynomial 8 is ___________.
MathematicsGrade10
Mathematics
Expand.
Expand.
MathematicsGrade10
Mathematics
Find the 4th term of the binomial expansion of
.
Find the 4th term of the binomial expansion of
.
MathematicsGrade10
Mathematics
The polynomial which has only one term is called ___________.
The polynomial which has only one term is called ___________.
MathematicsGrade10
Mathematics
Find the 4th term.
Find the 4th term.
MathematicsGrade10
Mathematics
The polynomial which has two terms is called ___________.
The polynomial which has two terms is called ___________.
MathematicsGrade10
Mathematics
Expand.
Expand.
MathematicsGrade10
Mathematics
Find the 12th term.
![left parenthesis x minus y right parenthesis to the power of 14](data:image/png;base64,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)
Find the 12th term.
![left parenthesis x minus y right parenthesis to the power of 14](data:image/png;base64,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)
MathematicsGrade10
Mathematics
What is the expansion of (x + y)1000?
What is the expansion of (x + y)1000?
MathematicsGrade10
Mathematics
The dot plot represents which of the following?
The dot plot represents which of the following?
MathematicsGrade10
Mathematics
Find the median for the given data set: 23, 43, 12, 10, 15, 14, 8.
Find the median for the given data set: 23, 43, 12, 10, 15, 14, 8.
MathematicsGrade10