Question

Find the 67th term of the argument if sequence -17, -23, -29

Answer 1

Explanation:

Let a₁ be the first term and d be the common difference.

The nth term of the arithmetic sequence can be found by using

aₙ = a₁ + (n - 1)d

Your sequence is –17, –23, –29,...

a₁ (first term of the sequence) is –17.

d (the common difference) can be found by subtracting

d = –23 - (`-17) = -23 + 17 = -6

Now find the 67th term of the arithmetic sequence:

`a_{67` = –17 + (67 - 1)(–6)

`a_{67` = –17 + (66)(–6)

`a_{67` = –17 + (–396)

`a_{67` = -413

The 67th term of the arithmetic sequence –17, –23, –29,... will be -413.