Question

Which of the following number forms a pattern
(a) - 6,-3.0 3 (b)-5, -3,- 2.0 (c) 0, 2, 3, 4
(d) 1,2,4,6​

Answer 1

Answer:

a

Step-by-step explanation:

the answer is a because it is forming a pattern of integers and it is in roster form

Answer 2

Answer:

Option (a) forms a pattern.

Step-by-step explanation:

(a) $-6,-3,0,3$

Here, $a_1=-6$.

Observe that $a_2$ is obtain by adding the number $3$ to $a_1$, i.e.,

$a_2=a_1+3$

    $=-6+3$

    $=-3$

Now, $a_3$ is obtain by adding the number $3$ to $a_2$, i.e.,

$a_3=a_2+3$

    $=-3+3$

    $=0$

Likewise, $a_4$ is obtain by adding the number $3$ to $a_3$, i.e.,

$a_4=a_3+3$

    $=0+3$

    $=3$

Therefore, option (a) forms a pattern.

(b) $-5,-3,-2,0$

Here, $a_1=-5$.

Observe that $a_2$ is obtain by adding the number $2$ to $a_1$, i.e.,

$a_2=a_1+2$

    $=-5+2$

    $=-3$

Now, $a_3$ is obtain by adding the number $1$ to $a_2$, i.e.,

$a_3=a_2+1$

    $=-3+1$

    $=-2$

Likewise, $a_4$ is obtain by adding the number $2$ to $a_3$, i.e.,

$a_4=a_3+2$

    $=-2+2$

    $=0$

Therefore, option (b) does not form any pattern.

(c) $0,2,3,4$

Here, $a_1=0$.

Observe that $a_2$ is obtain by adding the number $2$ to $a_1$, i.e.,

$a_2=a_1+2$

    $=0+2$

    $=2$

Now, $a_3$ is obtain by adding the number $1$ to $a_2$, i.e.,

$a_3=a_2+1$

    $=2+1$

    $=3$

Likewise, $a_4$ is obtain by adding the number $1$ to $a_3$, i.e.,

$a_4=a_3+1$

    $=3+1$

    $=3$

Therefore, option (c) does not form any pattern.

(d) $1,2,4,6$

Here, $a_1=1$.

Observe that $a_2$ is obtain by adding the number $1$ to $a_1$, i.e.,

$a_2=a_1+1$

    $=1+1$

    $=2$

Now, $a_3$ is obtain by adding the number $2$ to $a_2$, i.e.,

$a_3=a_2+2$

    $=2+2$

    $=4$

Likewise, $a_4$ is obtain by adding the number $2$ to $a_3$, i.e.,

$a_4=a_3+2$

    $=4+2$

    $=6$

Therefore, option (d) does not form any pattern.

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