WebIf 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, … WebExpress 1296x 12 − 4320x 9 y 2 + 5400x 6 y 4 − 3000x 3 y 6 + 625y 8 in the form (a + b) n. I know that the first term is of the form a n , because, for whatever n is, the first term is n C 0 (which always equals 1 ) times a n times b 0 (which also equals 1 ).
If the rth term in the expansion of { x/3 - 2/x^2}^10 contains x…
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 showroom digital telcel
Example 6 - Show that middle term in expansion of (1 + x)^2n …
WebSolution The correct option is B Expansion of (1−2x)3 2 = 1+ 3 2(−2x)+ 3 2. 1 2. 1 2(−2x)2+ 3 2. 1 2(−1 2)1 6(−2x)3+......... Hence 4th term is x3 2 Suggest Corrections 1 Similar questions Q. The fourth term in the expansion of (1−2x)3 2 will be Q. Find the middle terms in the expansion of (3x− x3 6)7 Or 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 … Web29 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 + … showroom digitec