Assume the statement from Exercise 30 in section 2.1 that | x + y | ≤ | x | + | y | for all x and y in Z . Use this assumption and mathematical induction to prove that | a 1 + a 2 + ... + a n | = | a 1 | + | a 2 | + ... + | a n | for all positive integers n ≥ 2 and arbitrary integers a 1 , a 2 , ... , a n .
Assume the statement from Exercise 30 in section 2.1 that | x + y | ≤ | x | + | y | for all x and y in Z . Use this assumption and mathematical induction to prove that | a 1 + a 2 + ... + a n | = | a 1 | + | a 2 | + ... + | a n | for all positive integers n ≥ 2 and arbitrary integers a 1 , a 2 , ... , a n .
Assume the statement from Exercise 30 in section 2.1 that
|
x
+
y
|
≤
|
x
|
+
|
y
|
for all
x
and
y
in
Z
. Use this assumption and mathematical induction to prove that
|
a
1
+
a
2
+
...
+
a
n
|
=
|
a
1
|
+
|
a
2
|
+
...
+
|
a
n
|
for all positive integers
n
≥
2
and arbitrary integers
a
1
,
a
2
,
...
,
a
n
.
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MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY