ผลต่างระหว่างรุ่นของ "01204211/activity3 induction 1"

รุ่นแก้ไขเมื่อ 22:20, 2 กันยายน 2558

This is part of 01204211-58

A.1 Prove that for any integer $k\geq 1$ , we have that

1+3+\cdots +(2k-1)=k^{2}

.

A.2 Prove that for any integer $n\geq 0$ , the following formula is true:

\sum _{i=0}^{n}2^{i}=2^{n+1}-1

.

A.3

A.4

A.5

A.6

Due: 16 Sept 2015

@@ แถว 3: / แถว 3: @@
 == In-class activities 3 ==
-'''A.1''' Prove that for any integer <math>k\geq 1</math>, we have that <math>1+3+\cdots+(2k-1)=k^2</math>.
+'''A.1''' Prove that for any integer <math>k\geq 1</math>, we have that
+<center><math>1+3+\cdots+(2k-1)=k^2</math>.</center>
 '''A.2''' Prove that for any integer <math>n\geq 0</math>, the following formula is true:
-<center><math>\sum_{i=0}^n 2^i = 2^{n+1} - 1</math></center>
+<center><math>\sum_{i=0}^n 2^i = 2^{n+1} - 1</math>.</center>