Sum of series

Related BrainMass Solutions

• Sums of Convergent Series

  131497 Sums of Convergent Series How many terms of the convergent series do you need in order for the partial sum Sn to estimate the actual sum of the series correctly to four decimal places?

• Infinite series

  This shows how to determine if a series based on thes um of two other series is convergent.

• Show that multiplication of an absolutely convergent series and bounded series is convergent.

  We have to show that sum( |ak*bk| ) = L (where L, of course is a finite number). This means that the series sum(ak*bk) converges absolutely.

• Series Convergence

  We know that sum of the series as from the previous result. Hence = 3) The series converges. Find its sum. Each series is of the form which converges when |r|<1. Here this condition is satisfied.

• Geometric Series and Sums

  Solution There are two possibilities to determine sum of two geometric series.

• Find the series summation

  6539 Find the series summation Find the series summation of the attached problem.

• Sum of geometric series

  The above sum can be written as summation terms in expression is an expansion of The sum of above series is given by = 1 Thank you! The formula for sum of both finite and infinite geometric series is given.

• Power Series Proof

  Define addition and multiplication of power series in the same way as for power series with real or complex coeficients,i.e extend polynomial addition and multiplication to power series as though they were "polynomial of infinite degree": sum(a_nX^n)

• Convergent Series Sum

  26505 Convergent Series Sum Show that if the series sum(sum sign) to infinity(top) of k=1(bottom) of a_k converges then a_k--->0 According to the definition, we say that a series converges to the sum s, and we write: sum(a_k, k=1..infinity)= s

• How do you find the sum of the series?

  183059 How do you find the sum of the series? Give the sum of the following series: a. SUM(as n=1, goes to infinity) pi^n / 4^n_1 b.