Final answer:
The 87th term of the arithmetic sequence 1, 14, 27... is 1119.
Step-by-step explanation:
To find the 87th term of an arithmetic sequence, you can use the formula:
an = a1 + (n-1)d
Where:
- an = the nth term of the sequence
- a1 = the first term of the sequence
- n = the position of the term you want to find
- d = the common difference between consecutive terms
In this case, the first term, a1, is 1 and the common difference, d, is 13 (since 14-1=13). Plugging these values into the formula, we get:
a87 = 1 + (87-1)(13)
= 1 + 86(13)
= 1 + 1118
= 1119
So, the 87th term of the sequence is 1119.