Which even number comes the least number of times in the sequence given below?6 2 7 5 6 1 3 6 5 2 7 8 2 5 8 2

How many 7-digit even numbers less than 3 000 000 can be formed using all the digits1, 2, 2, 3, 5, 5, 6 ?

The average of five consecutive even numbers is 14. What is the smallest of these numbers? Options 6 10 8 12

a) Work out the next two terms in this sequence of odd numbers:1,3,5,7,…1,3,5,7,…b) Work out the next two terms in this sequence of even numbers:2,4,6,8,…2,4,6,8,…

Study the following arrangement carefully and answer the question given below:4 2 6 1 3 8 9 5 8 1 6 5 1 5 8 5 3 9 4 9 2 3 2 1 5 7 2 6 2 4 2 7 4How many such 2’s are there in the above arrangement each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?

Use a generating function and a mathematical computing package to determine thenumber of positive integers less than 1 million (1 000 000) that contain an odd number of evendigits, at most one 1, at least one 3, at most two 5s, and having no restrictions on the numberof 7s or 9s.