Question

Write the sum using summation notation, assuming the suggested pattern continues.

100 + 121 + 144 + 169 + ... + n2 + ...

Answer 1

100 = 10², so the sum you're considering is the sum of squared integers starting with 10.

`\displaystyle 100+121+144+168+\cdots+n^2+\cdots = \boxed{\sum_(k=10)^\infty k^2}`