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Use MATLAB
β€’ 1-calculate the first 100 iterations of βˆ‘ 𝑖 ^2
𝑛
𝑖=1 =
𝑛(𝑛+1)(2𝑛+1)
6
Note i is from 1 to n and in front of sigma we have i
2
β€’ 2- Estimate the value of Ο€.
(Help; βˆ‘
(βˆ’1)^𝑛
2𝑛+1
∞
𝑛=0 =
πœ‹
4
)
Note n is from 0 to ∞ and in front of sigma we have a fraction in top
( -1)^n and in the bottom of fraction we have 2n+1.

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