If the 6th term in the expansion of 3/2+x/3 n
Web16 mrt. 2024 · Get live Maths 1-on-1 Classs - Class 6 to 12 Book 30 minute class for ₹ 499 ₹ 299 Transcript Ex 8.2, 8 Find the middle terms in the expansions of (𝑥/3+9𝑦)^10 Number of … WebAlgebra Expand Using the Binomial Theorem (x+3)^3 (x + 3)3 ( x + 3) 3 Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n = n ∑ …
If the 6th term in the expansion of 3/2+x/3 n
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Web30 mrt. 2024 · Example 8 The second, third and fourth terms in the binomial expansion (x + a)n are 240, 720 and 1080, respectively. Find x, a and n. We know that general term of … Webmaths If the 5th term in the expansion of (3 x + x1)n is independent of x, then n = A 8 B 12 C 16 D 20 Medium Answer We know, T r+1 = nC ran−rbr Applying to the above question, we get T r+1 = nC r.3n−r.x 2n−r.x−r = nC r.3n−r.x 2n−3r ... (i) It is given that the 5th term is independent of x T 4+1 = nC 4.3n−4.x 2n−12 Therefore 2n−12 = 0 ⇒ n = 12
Web30 mrt. 2024 · Transcript. Example 6 Show that the middle term in the expansion of (1 + x)2n is (1 . 3 . 5 …. (2𝑛 − 1))/𝑛! 2n xn, where n is a positive integer. Given Number of terms … Web26 jul. 2024 · 5 Answers. Sorted by: 4. You can get x3 only by multiplying x2 with − x, or by multiplying three ( − x) 's together where the rest of the terms you are multiplying with …
Web30 mrt. 2024 · Example 6 Show that the middle term in the expansion of (1 + x)2n is (1 . 3 . 5 …. (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 find Tn + 1 We know that ... Web5 nov. 2024 · If the rth term in the expansion of ( x 3 − 2 x2)10 ( x 3 − 2 x 2) 10 contains x4, then r is equal to (a) 3 (b) 0 (c) – 3 (d) 5 binomial theorem class-10 Share It On 1 Answer +1 vote answered Nov 5, 2024 by Taanaya (23.8k points) selected Nov 13, 2024 by Maahi01 Best answer Answer : (a) 3
WebClick here👆to get an answer to your question ️ Show that if the greatest term in the expansion of (1 + x )^2n has also the greatest coefficient, then x lies between nn + 1 and n + 1n. Solve Study Textbooks Guides. Join / Login. Question .
Web21 jan. 2024 · Find the 6th term of expansion of (1/2a - 3)^16. Pinoybix.org is an engineering education website maintained and designed toward helping engineering … french michelin star restaurants nycWebIf 6th term in the expansion of (3 2+ x 3)n is the numerically greatest term when x=3, then find the sum of all possible values of n __ Solution In the binomial expansion of (x+y)n, … french microsoft storeWebThe first term in the binomial is " x2 ", the second term in " 3 ", and the power n for this expansion is 6. So, counting from 0 to 6, the Binomial Theorem gives me these seven … fast intentions cat back exhaust q60Web18 aug. 2024 · Find the sixth term of the expansion (y1/2 + x1/3)n if the binomial coefficient of the third term from the end is 45. binomial theorem class-11 1 Answer 0 votes answered Aug 18, 2024 by AbhishekAnand (87.9k points) selected Aug 19, 2024 by Vikash Kumar Best answer Given expression is (y1/2 + x1/3)n french miamiWebAs you can see for ( a + b) n contains just n + 1 terms. Note that we have to keep the sum of powers in each of the combinations of x, y, z to n, so it will be reduced. Now replace a and b by x and ( y + z) respectively. So total number of terms should be 1 + 2 + 3 + ⋯ + ( n + 1) = ( n + 1) ( n + 2) 2. Share. fast intentions lower downpipes q50WebAnswer (1 of 3): Using the Binomial theorem, the sixth term of (a+b)^8 is 56a^3 b^5 Plugging in your terms, using the arithmetic rules for exponents and setting it all to 5600 gives 56\cdot \frac{1}{x^8}\cdot x^{10}\cdot (\log x)^5 = 5600 For real positive values of x, that simplifies to x\c... fast intentions long tube headersWeb29 mrt. 2024 · Ex 8.2, 7 Find the middle terms in the expansions of ("3 – " 𝑥3/6)^7 Number of terms = n = 7 Since n is odd there will be two middle termx ( (𝑛 + 1)/2)^𝑡ℎ term & ( (𝑛 + … fast intentions resonated high flow cats g37