i wanna ask how to prove a sequence as a AP or GP
can i express the expression, T(n)= 7+10n as (a+(n-1)d) to finish the
proof instead of put (n-1) and (n) into it and the difference of them is a
constant to finish the proof?
CEMATHS~~AP~GP
2009-06-30 12:16 am
回答 (2)
2009-06-30 1:27 am
✔ 最佳答案
For proving a sequence as a AP : a , b , c (example)just proving (a+c)/2=b is okay!
For proving a sequence as a GP : a , b , c (example)
just proving ac=b^2 is okay!
2009-06-30 9:56 am
I think the common method is showing T(n)-T(n-1) = constant for AP and T(n)/T(n-1) = constant for GP, since they follows the definition. But expressing T(n) as a+(n-1)d should also be acceptable, just like comparing coefficients for polynomials. However, for exam it is better to use the former.
收錄日期: 2021-04-22 00:45:17
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090629000051KK01240