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For sequence -2,14 find the 8th term​

Sagot :

Answer:

  • The sequence given is:
  • -2, 14
  • To identify the pattern, we can see the difference between the two terms:
  • 14 - (-2) = 16
  • This shows that the difference between each term is 16. Therefore, the sequence follows an arithmetic progression.
  • To find the 8th term, we can use the formula for the nth term of an arithmetic sequence:
  • a_n = a_1 + (n-1)*d
  • where:
  • a_n = the nth term
  • a_1 = the first term
  • n = the term number
  • d = the common difference
  • In our case, a_1 = -2, d = 16, and n = 8. Substituting these values into the formula:
  • a_8 = -2 + (8-1)*16
  • a_8 = -2 + 7*16
  • a_8 = -2 + 112
  • a_8 = 110
  • Therefore, the 8th term in the sequence is 110.

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