Question

Is -5, -1, 1, 5 arithmetic

Answer 1

Answer:

No, the given sequence is not arithmetic.

Step-by-step explanation:

Given sequence-

- 5, - 1, 1, 5

Here, a = - 5, a is the first term of the given sequence.

For common difference-

d = $t_{2} - t_{1} = t_{3} - t_{2} = t_{4} - t_{3}$

Let $t_{1} = - 5, t_{2} = - 1$

d = $t_{2} - t_{1}$

  = - 1 -( - 5)

  = - 1 + 5

  =  4...........................(i)

Let $t_{2} = - 1, t_{3} = 1$

d = $t_{3} - t_{2}$

  = 1-( - 1)

  = 1 + 1

  = 2................................(ii)

Let $t_{3} = 1, t_{4} = 5$

d = $t_{4} - t_{3}$

  = 5 - 1

  = 4....................................(iii)

∵ In equation (ii) common difference d is not 4, therefore the given sequence is not arithmetic.