Which table represents an arithmethic sequence?

Table 3  represents an arithmetic sequence.

Solution:

To find which table represents an arithmetic sequence:

In arithmetic sequence difference of each term is equal.

Table 1:

  = –12 – (–6)

d = –6

  = –24 – (–12)

d = –12

Here differences are not equal.

So table 1 not represents an arithmetic sequence.

Table 2:

  = 9 – 7

d = 2

  = 13 – 9

d = 4

Here differences are not equal.

So table 2 not represents an arithmetic sequence.

Table 3:

  = 7.3 – 8.7

d = –1.4

  = 5.9 – 7.3

d = –1.4

  = 4.5 – 5.9

d = –1.4

  = 3.1 – 4.5

d = –1.4

Here differences are equal.

So table 3 represents an arithmetic sequence.

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

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step-by-step explanation: