मराठी

Number of terms in the expansion of (a + b)n where n ∈ N is one less than the power n. - Mathematics

Advertisements
Advertisements

प्रश्न

Number of terms in the expansion of (a + b)n where n ∈ N is one less than the power n.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर

उत्तर

This statement is False.

Explanation:

Since, the number of terms in the given expression (a + b)n is 1 more than n

i.e., n + 1

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Binomial Theorem - Exercise [पृष्ठ १४६]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 8 Binomial Theorem
Exercise | Q 40 | पृष्ठ १४६

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Expand the expression: (1– 2x)5


Expand the expression: `(2/x - x/2)^5`


Using binomial theorem, evaluate f the following:

(101)4


Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.


Find (a + b)4 – (a – b)4. Hence, evaluate `(sqrt3 + sqrt2)^4 - (sqrt3 - sqrt2)^4`


Find (x + 1)6 + (x – 1)6. Hence or otherwise evaluate `(sqrt2 + 1)^6 + (sqrt2 -1)^6`


Show that 9n+1 – 8n – 9 is divisible by 64, whenever n is a positive integer.


Prove that `sum_(r-0)^n 3^r  ""^nC_r = 4^n`


Find ab and n in the expansion of (a + b)n if the first three terms of the expansion are 729, 7290 and 30375, respectively.


Find the coefficient of x5 in the product (1 + 2x)6 (1 – x)7 using binomial theorem.


Evaluate `(sqrt3 + sqrt2)^6 - (sqrt3 - sqrt2)^6`


Expand using Binomial Theorem `(1+ x/2 - 2/x)^4, x != 0`


If n is a positive integer, prove that \[3^{3n} - 26n - 1\]  is divisible by 676.

 
 

Show that  \[2^{4n + 4} - 15n - 16\]  , where n ∈  \[\mathbb{N}\]  is divisible by 225.

 
  
  

Find the 4th term from the end in the expansion of `(x^3/2 - 2/x^2)^9`


Show that `2^(4n + 4) - 15n - 16`, where n ∈ N is divisible by 225.


The total number of terms in the expansion of (x + a)51 – (x – a)51 after simplification is ______.


The number of terms in the expansion of (a + b + c)n, where n ∈ N is ______.


Find the coefficient of x in the expansion of (1 – 3x + 7x2)(1 – x)16.


In the expansion of (x + a)n if the sum of odd terms is denoted by O and the sum of even term by E. Then prove that O2 – E2 = (x2 – a2)n 


The total number of terms in the expansion of (x + a)100 + (x – a)100 after simplification is ______.


The two successive terms in the expansion of (1 + x)24 whose coefficients are in the ratio 1:4 are ______.


The coefficient of a–6b4 in the expansion of `(1/a - (2b)/3)^10` is ______.


Let `(5 + 2sqrt(6))^n` = p + f where n∈N and p∈N and 0 < f < 1 then the value of f2 – f + pf – p is ______. 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×