Question

8,8,6,2 sequence series
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Answer 1

Answer:

Next digit is -4.

Step-by-step explanation:

We have to find out next digit in given sequence.

Let next given = x

So sequence is 8, 8, 6, 2, x

Difference between next digit and previous digit is

8 - 8 = 0

6 - 8 = -2

2 - 6 = -4

Similarly difference between x and 2 is -6, as per sequence

x - 2 = -6

x = -4

So next digit is -4

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Answer 2

Answer:

The next digit in the sequence series $8,8,6,2$ is $-4$.

Step-by-step explanation:

Consider the sequence as follows:

$8,8,6,2$

Observe that $a_1=8$. Then,

$a_2=a_1-2n$

    $=8-0$ (Here $n=0$)

    $=8$

Similarly,

$a_3=a_2-2n$

    $=8-2$ (Here $n=1$)

    $=6$

$a_4=a_3-2n$

    $=6-4$ (Here $n=2$)

    $=2$

Observe that subtracting the multiple of $2$ from the previous term gives the next term of the sequence. Thus,

$a_5=a_4-2n$

    $=2-6$ (Here $n=3$)

    $=-4$

Continuing like this, the sequence will be $8,8,6,2,-4,-12,...$ .

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