A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Evaluate the series 1 + 4 + 16 + 64 + 256 + 1024.
anonymous
 4 years ago
Evaluate the series 1 + 4 + 16 + 64 + 256 + 1024.

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0howd yuu get 2^11  1 = 2047?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0This is geometric progression with first member a1=1 and q=4, so sum is 1*(14^6)/(14)=1365

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0In general, \[ \sum \limits_ {i=0} ^n 2^i = 2^{n+1}1\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@FoolForMath this formula doesn't work here because there is no 8 (2^3) in sum

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Further taking simamura's solution 4^61=4^21(4^4+1+4^2) =15(273) divided by 3 ie 1365

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thank you guys for the help i appreciate it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0OKay I can see it now, 1 + 4 + 16 + 64 + 256 + 1024. This is a geometric series with first term 1, and common difference 4.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\large{1^2+2^2+4^2+8^2+16^2+32^2}\] now you can solve

Zarkon
 4 years ago
Best ResponseYou've already chosen the best response.2there are only 6 numbers...just add them
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.