Question

Find S12 for the series 1 + 2 + 4 + 8 +..
i got 2048

Answer 1

@Michele_Laino am i right

Answer 2

here we have a geometric series, whose first term is a1=1 and constant q= 2

Answer 3

okay

Answer 4

so, we can apply this formula:
\[\Large {S_{12}} = {a_1}\frac{{1 - {q^{12}}}}{{1 - q}}\]

Answer 5

okay

Answer 6

after a substitution, i get this:
\[\Large {S_{12}} = {a_1}\frac{{1 - {q^{12}}}}{{1 - q}} = 1 \cdot \frac{{1 - {2^{12}}}}{{1 - 2}} = ...?\]

Answer 7

-4097

Answer 8

I got 4095

Answer 9

nvm ur right, typo sorry lol

Answer 10

so its 4095

Answer 11

yes!