Question

4-8+16-32..., n=7 evaluate the geometric series

Answer 1

Well, first find the common ratio, which is 2. Your first term is 4 so your equation is \[{(-1)^{n-1}}4 (2)^{n-1}\]

Answer 2

\[8^{3}\] or 512

Answer 3

nope, exponential always comes first so \[4 \times 2^6\]

Answer 4

so256

Answer 5

should be
just check by plugging in the values for n: n=1 should be 4, n=2 should be -8, n=3 should be 16 etc

Answer 6

oh, and because the -1 and 2 both have exponents of n-1, you can combine them