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seraphim [82]
3 years ago
5

Given a sequence is defined by the explicit definition LaTeX: t_n=\:n^2+nt n = n 2 + n, find the 4th term of the sequence. (ie L

aTeX: t_4t 4)
Group of answer choices

Mathematics
2 answers:
dimulka [17.4K]3 years ago
8 0

<em>*100% CORRECT ANSWERS</em>

Reika [66]3 years ago
6 0

Answer:

t_{4}=20

Step-by-step explanation:

Given:

The n^{th} term of the sequence is given as:

t_{n}=n^{2}+n

In order to find the fourth term of this sequence, we need to plug in 4 for n in the above expression and solve. This gives,

t_{4}=4^{2}+4\\t_{4}=16+4=20

Therefore, the fourth term of the sequence is t_{4}=20.

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2 years ago
Variable c is 5 more than variable
shutvik [7]
First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5 
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3 
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified


a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So, 
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" <u>divided by 3</u><u /> . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

 So, our answer is going to be the last one:
 
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 c = a - 3
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Read 2 more answers
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