Question

100, 95, ?, 79, 68, ?, 40, 23

Answer 1

Answer:

88 and 55

Explanation:

we have to deduct odd numbers start from 5

100-5=95

95-7=88

88-11=79

68-13=55

55-15=40

40-17=23

Answer 2

Answer:

The first missing number is 88

The second missing number is 55

Explanation:

Provided that:

The sequence is 100, 95, ?, 79, 68, ?, 40, 23

We can see that the sequence is a decreasing sequence where the interval of decreasing between two numbers is also changing.

And easily we can make the observation that the interval of decreasing is a increasing sequence.

Interval of two numbers:

• 100 _ 95 => 5
• 95 _ ? (let x) => p (let)
• ? _ 79 => q (let)
• 79 _ 68 => 11
• 68 _ ? (let y) => r (let)
• ? _ 40 => s (let)
• 40 _ 23 => 17

From observation of sequence of intervals;

We can say the the interval is increasing by 2 every time.

Hence we can say the values of intervals:

• p = (5+2) = 7
• q = 9
• r = (11+2) = 13
• s = 15

So, we get;

$95 - x =7 \\ or \: x = 88$

So the first missing number is 88

And;

$68 - y = 13 \: (r) \\ or \: y = 55$

So the second missing number is 55

Hence the sequence is:

100, 95, 88, 79, 68, 55, 40, 23