Recent content by It_Angel

  1. I

    Sum of this geometric sequence doesn't make sense

    Yeah you got the typo. Why is a not 2, as per tn=a*r^n?
  2. I

    Sum of this geometric sequence doesn't make sense

    Homework Statement 14 Ʃ 2(4/3)^n n=1 Homework Equations Sn=a(1-r^n)/(1-r) The Attempt at a Solution 2(1-[4^14]/[3^14])/(-1/3)=330.74 However, the answer sheet gives ~441 as the answer, and I confirmed it by doing it by hand. Why is the equation not working? What's wrong?
  3. I

    Optics question, can anyone confirm my answer?

    Homework Statement Two converging lenses of focal length=27cm are placed 16.5cm apart. If an object is placed 35cm in front of the first lens, where will the final image be produced? What will be the total magnification? Homework Equations 1/f=1/di+1/do do2=D-di1 M=-di/do The...
  4. I

    Proving 3^n >= 2n+1 by Induction

    Sorry, still at a loss.
  5. I

    Proving 3^n >= 2n+1 by Induction

    Homework Statement Prove that 3^n >= 2n+1 for all natural numbers. Homework Equations 3^n >= 2n+1 [is bigger or equal to] The Attempt at a Solution 3*1>=2+1 True for n=1 Assumption: 3^k>=2k+1 3^(k+1)>=2k+3 3^k*3>=2k+3 (2k+1)*3>=2k+3 <---can I just substitute 2k+1...
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