Answer: the 87th term of the arithmetic sequence is 1119
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
an = a1+ d(n - 1)
Where
a1 represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 1
d = 14 - 1 = 27 - 14 = 13
n = 87
We want to determine the value of the 87th term, T87. Therefore,
T87 = 1 + 13(87 - 1)
T87 = 1 + 13 × 86
T87 = 1 + 1118
T87 = 1119
