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Series of partial sums

  • Thread starter gkamal
  • Start date
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1. Homework Statement
t5672v.jpg



2. Homework Equations

an= bn - bn+1 which is already in the problem

3. The Attempt at a Solution

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
 
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4,310
1. Homework Statement
t5672v.jpg



2. Homework Equations

an= bn - bn+1 which is already in the problem

3. The Attempt at a Solution

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
Where's the equation you're working with?
Starting from ##\frac{16}{16n^2 + 8n - 35} = \frac{A}{4n - 5} + \frac{B}{4n + 7}##, multiply both sides by ##16n^2 + 8n - 35## to clear out all of the denominators. Then solve for the constants A and B.
 
36
0
i did and i get 16/12 for A and - 16/12 for B as i indicated above the problem is what is the next step
 

vela

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I think there's a typo in the problem. It should say ##a_n = b_n - b_{n+3}##.
 

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