What number is needed to complete the pattern below 66 73 13 21 52 _1020

The answer is 61. First is knowing the pattern. By subtracting the second number with the first then fourth number with the fifth and so on, you get.

73 minus 66 equals 7.
21 minus 13 equals 8.
xx minus 52 equals x.
20 minus 10 equals 10.

Basing on this pattern x should be 9 and you get the number xx by adding 52 and 9 which is 61.

we have

let

we know that

Basing on this pattern the term should be

therefore

the answer is

the number needed to complete the pattern is

a) 0.00001

b) 0.001

Step-by-step explanation:

Given numbers,

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

a) If by these numbers we have to make six digit number,

So, the total ways of arranging 6 digit number =

Now, if all six digit in the number are same,

Then the possible ways = 10   ( eg : 000000, 111111, 222222, 333333, 444444... etc ),

Hence, the probability that all six digits are the same

b) The ways that five or more of the digits of the same = exactly 5 digits are same + Exactly 6 digits are same

∵ The ways that 5 digits are same = 10 × 9 = 90 (i.e. 111110, 111112, 111113,.....9 times, 222220, 222221,.....9 times .... etc..)

So, the number of ways that 5 or more than 5 digits are same = 90 + 10 = 100

Hence, the probability that five or more of the digits of the same