Answer:
error
Step-by-step explanation:
Answer:
For this case we have by definition, that an irrational number is a number that can not be expressed as a fraction \ frac {a} {b}, where a and b are integers and b is different from zero.
A) , it is rational
B), it is rational
C) , it is rational
D) it is not rational.
Step-by-step explanation:
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Answer:
The number is -2
Step-by-step explanation:
12 less than 7 times a number can be express as follows,
let the number = a
7a - 12
According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.
32 less than the product of -3 and the number can be express below.
-3a - 32. Therefore,
7a - 12 = -3a - 32
collect like terms
7a + 3a = - 32 + 12
10a = -20
divide both sides by 10
a = -20/10
a = -2
The number is -2
Answer:
-1-(-3)
Step-by-step explanation:
hope this helps
An alternating series

converges if

is monotonic and

as

. Here

.
Let

. Then

, which is positive for all

, so

is monotonically increasing for

. This would mean

must be a monotonically decreasing sequence over the same interval, and so must

.
Because

is monotonically increasing, but will still always be positive, it follows that

as

.
So,

converges.