Question

What value should replace n in sigma notation to find the sum of the first 10 terms of the geometric sequence 1,14,116, . . .
?(1 point)
n=

Answer 1

If you start indexing at 0 (so the terms are (1/4)^0,(1/4)^1,...), use upper limit 9, i.e. n = 9 (sum_{k=0}^{9} (1/4)^k).

If you start indexing at 1 (so the terms are (1/4)^{n-1}), use n = 10 (sum_{k=1}^{10} (1/4)^{k-1}).