Answer:
the 54th term of the arithmetic sequence would be = -855
Explanation:
formula to find the nth term of an arithmetic sequence is,
aₙ = a₁ + (n - 1)(d)
where n is the number of the term in the sequence
a is the term
d is the difference between the terms in the arithmetic sequence
given sequence is,
-7, -23, -39, ....
we can see that the difference between the terms is -16
let's calculate the terms by the formula for the arithmetic sequence
a₂ = -7 + (2 - 1)(-16)
= -7 + (1)(-16)
= -7 - 16 = - 23
a₃ = -7 + (3 - 1)(-16)
= -7 + (2)(-16)
= -7 - 32 = -39
thus, the 54th term of the arithmetic sequence would be,
a₅₄ = -7 + (54 - 1)(-16)
= -7 + (53)(-16)
= -7 - 848 = -855