What is the explicit rule for the sequence in simplified form?
−1,−4,−7,−10,−13…

question 12 options:

an=4−5n

an=−4−3n

an=2−3n

an=−6−5n

an = 2 - 3n ⇒ The third answer

Step-by-step explanation:

∵ a1 = -1

∵ a2 = -4

∵ a3 = -7

∵ a2 - a1 = -4 - -1 = -3

∵ a3 - a2 = -7 - -4 = -3

∴ It is an arithmetic sequence with

  1st term = -1 and constant difference = -3

∵ The rule of any arithmetic is: an = a + (n - 1)d

∵ a = -1 and d = -3

∴ an = -1 + (n - 1)(-3)

∴ an = -1 - 3n + 3

∴ an = 2 - 3n ⇒ The third answer

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.