Question

Four integers are consecutive terms of an arithmetic sequence. The sum of these four numbers is 24 and the product is 945.

Find the largest of these four integers.

Answer 1

9514 1404 393

Answer:

9

Explanation:

The prime factorization of 945 is ...

945 = 3³·5·7

suggesting the numbers are 3, 5, 7, 9. These have a sum of 24.

The largest of the integers is 9.