Question

76,80,88,95,100,101 next sequence

Answer 1

The next number in the sequence is 103.

Step-by-step explanation:

We are given the following sequence below;

76, 80, 88, 95, 100, 101, ?

Firstly, we will try to analyze the pattern;

We will find the difference between the consecutive numbers, i.e;

⇒ (80 - 76), (88- 80), (95 - 88), (100 - 95), and (101 - 100).

⇒ 4, 8, 7, 5, and 1

Now, again we will find the difference between the consecutive numbers, i.e;

⇒ (8 - 4), (7 - 8), (5 - 7), and (1 - 5)

⇒ {4, -1, -2, -4}

As we can see here that 4 repeats after the two digits, (ignoring the '-' sign), this means that the next number in the above sequence would be 1(which would be the second difference of the original digits).

So, the first difference between the original digits would be 2, so the next number in the given sequence is = 101 + 2 = 103.