State the fifth and seventh terms of the sequence -2,-3,-4[1\2]

1 answer

It seems like there is a misunderstanding in the sequence mentioned. The terms given are -2, -3, and -4, with a notation "[1\2]" that is unclear.

If the sequence indicates that it is an arithmetic sequence beginning with -2 and following a pattern, we first need to identify the common difference. Based on the first two terms:

  • Second term: -3
  • First term: -2

The common difference (d) can be calculated as:

\[ d = -3 - (-2) = -1 \]

Identifying the terms:

  1. First term (a₁) = -2
  2. Second term (a₂) = -3
  3. Third term (a₃) = -4 (given)
  4. Fourth term (a₄) = -4 - 1 = -5
  5. Fifth term (a₅) = -5 - 1 = -6
  6. Sixth term (a₆) = -6 - 1 = -7
  7. Seventh term (a₇) = -7 - 1 = -8

Hence, the fifth term is -6 and the seventh term is -8.