Question

find the pattern in difference of 6 22 46 78​

Answer 1

Answer:

The pattern of difference of $6,\ 22,\ 46,\ 78$ is $8n$ for $n\geq 2$.

Step-by-step explanation:

Consider the series as follows:

$6,\ 22,\ 46,\ 78$

Step 1 of 4

Difference between the numbers $6$ and $22$.

$22-6=16$

Now, write the number $16$ as follows:

$16=8\times2$

So, $22-16=8\times 2$.

Step 2 of 4

Difference between the numbers $22$ and $46$.

$46-22=24$

Now, write the number $24$ as follows:

$24=8\times3$

So, $46-22=8\times 3$.

Step 3 of 4

Difference between the numbers $78$ and $46$.

$78-46=32$

Now, write the number $32$ as follows:

$32=8\times4$

So, $78-46=8\times 4$.

Step 4 of 4

Computing the pattern in differences of numbers of the given series.

Observe that the differences are

$8\times2$, $8\times3$, $8\times4$

Continuing like this, we get

$d=8\times n$

  $=8n$, for $n\geq 2$

Therefore, the pattern of difference of $6,\ 22,\ 46,\ 78$ is $8n$ for $n\geq 2$.

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