Answer:
The 54th term in the given sequence is - 855.
Step-by-step explanation:
Here, the terms of the sequence AP are : -7 , - 23 , - 39
Here, a2 - a1 = -23 - (-7) = -23 + 7 = -16
a3 - a2 = -39 - (-23) = - 39 + 23 = -16
So, here the common difference(d) of AP = -16
and first term (a) = -7 , n = 54
Now, in any AP : [tex]a_{(n)} = a + ( n -1) d[/tex]
So, for n = 54 :
[tex]a_{(54)} = -7 + ( 54 -1) (-16)[/tex]
= -7 + 53(-16)
= -7 - 848 = - 855
⇒a(54) = - 855
Hence, the 54th term in the given sequence is - 855.
