Find the 87th term of the arithmetic sequence 1, 14, 27, ...

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

1,132. I multiplied 13 by 87 and then added 1 because it is adding 13 every number