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Finite geometric series in sigma notation

The series 2481632-2-4-8-16-32 can be written using sigma notation (also called summation notation):
k=0mak\large\displaystyle\sum\limits_{k=0}^{m}{{a_k}}
Find mm.
m=m=
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
Write an expression for aka_k in terms of kk.
ak=a_k=