MATH02, Sums and products

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Sum

import sympy
#symypy.init_printing()
from sympy import symbols, Sum, oo

n = symbols("n", integer=True)
Sum(1/(n**2), (n, 1, oo))

OUTPUT : \(\displaystyle \sum_{n=1}^{\infty} \frac{1}{n^{2}}\)

import sympy
#symypy.init_printing()
from sympy import symbols, Sum, oo

n = symbols("n", integer=True)
x = Sum(1/(n**2), (n, 1, oo))
x.doit()

OUTPUT : \(\displaystyle \frac{\pi^{2}}{6}\)

import sympy
#symypy.init_printing()
from sympy import symbols, Product

n = symbols("n", integer=True)
Product(n, (n, 1, 7))

OUTPUT : \(\displaystyle \prod_{n=1}^{7} n\)

import sympy
#symypy.init_printing()
from sympy import symbols, Product

n = symbols("n", integer=True)
x = Product(n, (n, 1, 7))
x.doit()

OUTPUT : \(5040\)

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