Answer:
See the argument below
Step-by-step explanation:
I will give the argument in symbolic form, using rules of inference.
First, let's conclude c.
(1)⇒a by simplification of conjunction
a⇒¬(¬a) by double negation
¬(¬a)∧(2)⇒¬(¬c) by Modus tollens
¬(¬c)⇒c by double negation
Now, the premise (5) is equivalent to ¬d∧¬h which is one of De Morgan's laws. From simplification, we conclude ¬h. We also concluded c before, then by adjunction, we conclude c∧¬h.
An alternative approach to De Morgan's law is the following:
By contradiction proof, assume h is true.
h⇒d∨h by addition
(5)∧(d∨h)⇒¬(d∨h)∧(d∨h), a contradiction. Hence we conclude ¬h.
Answer:
Converges, 57.6
Step-by-step explanation:
48, 8, 4/3, 2/9...
ratio = 8/48 = 1/6
A sequence converged if the ratio is between -1 and 1.
So, this sequence converges
Limit = a/(1-r)
Where a is the first term, and r is the common ratio
Limit = 48/[1 - (1/6)]
= 48/[5/6]
= 48 × 6/5
= 57.6
ANSWER
EXPLANATION
The sum of the first 
terms of a geometric sequence is given by;
Where , is the number of terms and 
is the first term.
When 
, we have 
, we get;
