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what is the common difference between successive terms in the sequence?…

Question

what is the common difference between successive terms in the sequence?

(9, 2.5, -4, -10.5, -17, \dots)

-11.5
-6.5
6.5
11.5

Explanation:

Identify the terms of the sequence

$$ a_1 = 9,\quad a_2 = 2.5,\quad a_3 = -4,\quad a_4 = -10.5,\quad a_5 = -17 $$

Calculate the difference between successive terms

$$ LATEXBLOCK0 $$

Answer:

  • (A) \(-11.5\)
  • (B) \(-6.5\) (Correct answer)
  • (C) \(6.5\)
  • (D) \(11.5\)