If the middle term in the expansion of x2+1/x
WebSolution: Middle term of the expansion (1+x)2n is 2nC nxn Since, middle term is greatest term. ∴ 2nC nxn > 2nC n−1xn−1 and 2nC nxn > 2nC n+1xn+1 ⇒ x > 2nCn2nCn−1 and x … Web21 mrt. 2024 · Now, according to the question, there is only one middle term of the expansion ( 1 + x) n. So, we know that the index n is even. Now, 10th is the middle …
If the middle term in the expansion of x2+1/x
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Web23 aug. 2024 · Answer: 12 Step-by-step explanation: Given If the middle term in the expansion of (x^2+1/x)^n is 924x^6 then n = There is one middle term. So let middle … WebIf n is an odd positive integer, prove that the coefficients of the middle terms in the expansion of (x + y)n are equal. Solution : If n is odd, then the two middle terms are …
WebFree Binomial Expansion Calculator - Expand binomials using the binomial expansion method step-by-step Web7 mrt. 2024 · The middle term in the expansion of is . Explanation: Given expression : Compare to , we have Since n= 10 , the total number of terms = n+1 =10+1=11 , which …
Web27 mrt. 2024 · Mar 27, 2024 Middle term in the expansion of (x2 +1)18 is 48620x18 Explanation: In the expansion of (x + a)n, there are (n +1) terms and rth term is Cn r … Web14 nov. 2024 · If the coefficients of x2 and x3 in the expansion of (3 + ax)9 are the same, then the value of a is: Q10. If in the expansion of (1 + x)20, the coefficients of rth and (r + 4)th term are equal, then r is equal to: More Binomial Theorem Questions Q1. The coefficient of xn in the expansion of (1 + x) (1 - x)n is: Q2.
Web21 feb. 2024 · Answer: The middle term is splitted as Step-by-step explanation: We are given the quadratic equation as Quadratic equations are defined as the polynomial equations of degree two in one variable. It has highest degree two. There are two roots of quadratic equation. There are various methods of solving the equation.
WebAnswer (1 of 5): The expansion of (1+x)^10 contains 10+1 = 11 terms. Hence 6th term is the middle term. Formula for general term in the binomial expansion is given by Tr+1 = … succession wealth birmingham officeWeb25 sep. 2014 · We can see that the general term becomes constant when the exponent of variable x is 0. Therefore, the condition for the constant term is: n − 2k = 0 ⇒ k = n 2 . In … painting of brighton pierWebThe idea for answering such questions is to work with the general term of the binomial expansion. For instance, looking at (2x2 − x)5, we know from the binomial expansions … painting of books on a shelfWeb24 mrt. 2015 · What is the middle term in the expansion of ( x 2 − 2y)6? Precalculus The Binomial Theorem Pascal's Triangle and Binomial Expansion 1 Answer Alan P. Mar 24, 2015 Since this was asked under "Pascal's Triangle and Binomial Expansion" let's use that Term Multiplier/Pascal's Triangle Expansion Based on Exponent (a +b)0:1 (a +b)1:1 − 1 … painting of brother and sisterWebFind the middle terms in the expansion of (x2+1x)7 . Maharashtra State Board HSC Arts (English Medium) 11th. Textbook Solutions 9041 Important Solutions 7 ... There are 8 … painting of bride and groomWeb30 mrt. 2024 · (2𝑛 − 1))/𝑛! 2n xn, where n is a positive integer. Given Number of terms = 2n which is even So, Middle term = (2n/2 + 1)th term = (n + 1)th term Hence, we need to … succession wealth companies houseWebx2+x+1 Final result : x2 + x + 1 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+x+1 The first term is, x2 its coefficient is 1 . succession wealth cyber incident