Where's the equation you're working with?gkamal said:Homework Statement
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Homework Equations
an= bn - bn+1 which is already in the problem
The Attempt at a Solution
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i did partial fractions but then i got stuck at
16/12 [4n-5] - 16/12 [4n+7] that part about bn confuses me please someone explain in detail
A series of partial sums is a sequence of numbers obtained by adding up the terms of a series in a step-by-step manner. Each partial sum is the sum of a certain number of terms from the original series.
A series of partial sums is a way of representing a series. It shows the progression of the sums as more and more terms are added, which can help in understanding the behavior and convergence of a series.
A series of partial sums can help in evaluating the convergence or divergence of a series. It can also be used to approximate the value of a series by using a finite number of terms.
Yes, there is a formula for finding the nth partial sum of a series. It is given by Sn = a1 + a2 + a3 + ... + an, where a1, a2, a3, ... are the terms of the series.
A series is said to be convergent if the sequence of partial sums approaches a finite value as the number of terms increases. So, by observing the behavior of the series of partial sums, we can determine if the series is convergent or divergent.