Find the partial sum. 65 Σ (12n – 4) n = 1
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- Write the next three terms of the series. Then find the seventh partial sum of the series. 8+21+34+47+....Sn = (1/2) + (1/6) + (1/12) + .... Write this in sigma summation notationYou are given a series: ∞ Σ an n=1 Let's say that the nth partial sum would be sn= (5n-2)/(3n+6) Find a2 and Find: ∞ Σ an n=1
- Calculate S3,S4S3,S4, and S5S5 and then find the sum for the telescoping series S=∑n=3∞(1n+1−1n+2)S=∑n=3∞(1n+1−1n+2) where Sk is the partial sum using the first kvalues of n.You are given the following series: ∞ Σ an n=1 The nth partial sum of the series is sn= (5n-2)/(3n+6) How can you find: ∞ Σ an n=1A) Find the first five partial sums of the given two series and determine whether they appear to be convergent or divergent. If you find that a given series is convergent find its approximate sum 1+1/8+1/27+1/64+1/125+…
- Find the Taylor Series for the function f(x) = ax3 + bx2 + cx + d about the point x = 1. What is the coefficient of the linear term (x- 1) if a = 13.8, b = 14.2, c = 7.5, and d = 25.7.Find the solution to the ODE using power series solutions (x-1)y''+3y=0Compute the successive approximations yn(x) for n ≤ 3; then compare them with the appropriate partial sums of the Taylor series of the exact solution dy/dx = 1/2y3 , y(0) = 1
