Question: Can someone help me to solve this problem ? Thank you. 3. Optional Bonus: (2 points) Consider the sum 12 k=1 ( k + 2)
Can someone help me to solve this problem ?
Thank you.

3. Optional Bonus: (2 points) Consider the sum 12 k=1 ( k + 2) (k + 3)' a) Use partial fraction decomposition to express 12 (k + 2) (k +3) as the sum of two fractions. b) Using your answer to a), expand and evaluate the original sum for n = 6. What does this suggest n 12 k=1 (k + 2) (k + 3) is equal to? (this is called a telescoping sum) c) What does this sum approach if we let n approach co? lim 12 k=1 (k + 2) (k +3)
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