Question

45. Which sequence is represented by

Answer 1

A sequence can be arithmetic, geometric or neither.

The sequence is (c) -19, -9, 1, 11

In this case, the sequence is an arithmetic sequence, and it is represented with the following formula

$\mathbf{y = 10x - 29}$

When x = 1, we have:

Substitute 1 for x in $\mathbf{y = 10x - 29}$

$\mathbf{y = 10 \times 1 - 29}$

$\mathbf{y =- 19}$

When x = 2, we have:

Substitute 2 for x in $\mathbf{y = 10x - 29}$

$\mathbf{y = 10 \times 2 - 29}$

$\mathbf{y = - 9}$

When x = 3, we have:

Substitute 3 for x in $\mathbf{y = 10x - 29}$

$\mathbf{y = 10 \times 3 - 29}$

$\mathbf{y = 1}$

When x = 4, we have:

Substitute 4 for x in $\mathbf{y = 10x - 29}$

$\mathbf{y = 10 \times 4 - 29}$

$\mathbf{y = 11}$

So, the corresponding y values when x = 1, 2, 3 and 4 are -19, -9, 1 and 11.

Hence, the sequence is (c) -19, -9, 1, 11

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