Question

the sum of the first 14 terms of the sequnce 1/4 + 1/2 + 1+...

Answer 1

\[a=\frac{1}{4},r=2\] you get
\[\frac{1}{4}\times \frac{2^{15}-1}{2-1}\]

Answer 2

hold on maybe my exponent is wrong.

Answer 3

what is it?

Answer 4

i dunno i am messing up with the exponent for some reason. we can do this easily
\[1+2+4+8+...+2^{11}=2^{12}-1\] and then add
\[\frac{3}{4}\] to that

Answer 5

whats the final answer

Answer 6

\[2^{12}-1+\frac{3}{4}=\frac{1}{4}\cdot\frac{2^{14}-1}{2-1}\]

Answer 7

\[=\frac{16383}{4}=4095.75\]

Answer 8

kay thnks

Answer 9

i have one more question

Answer 10

yes i suppose it do, don't it? i messed up the first exponent and wrote 15