Free Calc Solutions
How do they get from step 2 to three in this CALC question?
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the textbook is calculus, 8th edition chapter 9, section 2, exercise 23. How do they get Sn??
lol i think i just figured it out, is it because every number after 1 up to n is canceled out?
It’s what’s called a ‘telescoping series’. All the terms but the first and last cancel. It might help to work out the first few to see the pattern:
S1 = 1 – 1/2
S2 = 1 – 1/2 + 1/2 – 1/3 = 1 – 1/3
S3 = 1 – 1/2 + 1/2 – 1/3 + 1/3 – 1/4 = 1 – 1/4
and so on…
Edit: You got it 🙂
2002 AP calculus free response — areas and volumes
