Find the sum of the series n C 0 n C 2+ n C 1 n C 3+ n C 2 n C 4… . . n C n 2 n C nA. n Cn 2B. 2 n Cn 2C. 2 n/2n 2D. 2 n Cn 1
Notice that this series starts with n = 0 and SOthefrrsttermisx^0=1 . (With series, we adopt the convention that x = 1 even when x = 0.) Thus ∑_(n=0)^∞x^n=1+x+x^2+x^3+x^4+⋯ This is a geometric series with a = 1 and r = x. Since |r|= |x| 1, it conv...
Find the sum of the series:∑n=0∞(−x)n=1−x+x2−x3+... Question: Find the sum of the series:∑n=0∞(−x)n=1−x+x2−x3+... Series: The geometric series has two parameters one is the first term and the other is the common ratio. We f...
Answer to: Find the sum of the series \sum_{n= 1}^{40} (3n +2)}] By signing up, you'll get thousands of step-by-step solutions to your homework...
According to the problem, we have a series given as 1, 3, 5, 7, 9,……. We need to find the sum of the elements in this series up to n terms.We know that an Arithmetic Progression (AP) is of form a, a+d, a+2d,…….., where ‘a’ is kno...
Question: Find the sum of the series ∑n=1∞g(n), where g(n)=n(n+1)(n+2)4, or enter 'does not exist' if the sum diverges. Hint: look at f(n)−f(n+1) where f(n)=n(n+1)2. a) Find an expression for the kth ...
Statement 2: The sum of the seies 11!x+22!x2+33!x3+44!x4..→∞isxex View Solution The sum of the series 21!+43!+65!+…….to∞equals View Solution Sum of n terms of the series141.3+243.5+345.7+….is equal to View Solution ...
What is the sum of the series ∑limits _(n=1)^(∞ ) ((-2)^n)/(e^(n+1))? () A. (-2)(e^2-2e) B. (-2)(e^2+2e) C. (-2)(e+2) D. e(e+2) E. The series diverges. 相关知识点: 试题来源: 解析 B 反馈 收藏 ...
The value of I=int(0)^(pi//4)(tan^(*n+1)x)dx+(1)/(2)int(0)^(pi//2)tan^... 05:38 The sum of the series (1)/(1xx2)""^(25)C(0)+(1)/(2xx3)""^(25)C(1)+(1)/... 06:34 The value of the integral int(1)^(2)e^(x)(log(e)x+(x+1)/(x))dx is 02...
∑limits _(n=1)^(∞ ) 1(n(n+3))=∑limits _(n=1)^(∞ )[ 1(3n)- 1(3(n+3))]. [partial fractions]s_n=∑limits _(i=1)^n[ 1(3i)- 1(3(i+3))]= 13+ 16+ 19- 1(3(n+1))- 1(3(n+2))- 1(3(n+3)) (tclescoping sum), so ∑limits _(n=1)^(∞ ) 1(...