Question

101,100,96,87,71,? missing number​

Answer 1

Answer:

lol

Step-by-step explanation:

64

Answer 2

Answer: Next number, a = 46

Explanation:

The given series:

101,100,96,87,71,...

To find:

The next number

Proof:

The series of numbers is following a specific pattern, which is as follows:

• 101 -100 = 1 = 1²
• 100 - 96 = 4 = 2²
• 96 - 87 = 9 = 3²
• 87 - 71 = 16 = 4²

According to the pattern, the difference of the preceding number (The number before) and the succeeding number (the number after) gives the square of the number  increasing by 1 i.e.

• 1², (1+1)², (2 + 1)², ( 3+1 )²

Let the next number = a

According to the pattern in the series,

71 - a = 5²

⇒ 71 - a = 25

⇒ -a= 25 - 71

⇒ -a = -46

⇒ a = 46

Proved.

Hope you got that.

Thank You.