Answer :
Answer:
a95=-842
Step-by-step explanation:
the formula for arithmetic sequence is [tex]a_{n}[/tex]=[tex]a_{1}[/tex]+[tex]d_{}[/tex]([tex]n-1_{}[/tex])
[tex]a_{n}[/tex]= the nth term in a sequence
[tex]a_{1}[/tex]= the first term in a sequence
d= the common difference between terms
In this case, [tex]a_{n}[/tex]=[tex]a_{95}[/tex], and the common difference is -9, so the equation for this specific problem is [tex]a_{95}[/tex]=4-9(95-1), which equals -842
If the first term is 4 and the common difference between the term is negative 9 then the 95th term will be negative 842.
What is a sequence?
A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The sequence will be given below.
4, −5, −14, ......
Then the first term is 4. Then the common difference will be
d = −14 + 5 = −9
The common difference is −9. Then the nth term will be given as
[tex]\rm a_n = a_1 + (n-1)d\\[/tex]
Then the 95th term will be
[tex]\rm a_n = 4 + (95-1)(-9)\\\\\rm a_n =-842[/tex]
More about the sequence link is given below.
https://brainly.com/question/21961097
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