please complete all the parts. Please DO NOT USE CHAT GPT OR ANY AI. 1. Evaluate each sum. a. $$\sum_{n=0}^{4} (2n+1)$$ b. $$\sum_{n=1}^{3} \frac{1}{n}$$
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Evaluate the sum $\sum_{n=0}^{4} (2n+1)$. We can expand the sum as follows: $$\sum_{n=0}^{4} (2n+1) = (2(0)+1) + (2(1)+1) + (2(2)+1) + (2(3)+1) + (2(4)+1)$$ $$= (0+1) + (2+1) + (4+1) + (6+1) + (8+1)$$ $$= 1 + 3 + 5 + 7 + 9$$ $$= 25$$ Show more…
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