Question

PLSS HELP SOON Is the sequence arithmetic? (Yes or no) If yes, please also give its common difference. 14) -2.8, -2.2, -1.6, -1.0

Answer 1

The sequence is an arithmetic sequence.

Common difference = 0.6

Explanation:

Given

-2.8, -2.2, -1.6, -1.0

Required

State if it's an arithmetic progression

Also state its common difference

To know if a sequence is arithmetic or not, we simply check for common difference

Common difference is calculated by subtracting a lower term with its immediate higher time;

In other words

`Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......`

Where T represent Term and the number represent their positions;

So, from the given above

`T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0`

Calculating
`T_2 - T_1`

`T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\`

Calculating
`T_3 - T_2`

`T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6`

Calculating
`T_4 - T_3`

`T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6`

Notice that all the above workings gave the same result;

This shows that the sequence is an arithmetic sequence.

The result of each workings above is the common difference

Common difference = 0.6