Insert three arithmetic means between 4 and 16. What is the largest of the means?Select one:a. 7b. 10c. 13d. 16
Question
Insert three arithmetic means between 4 and 16. What is the largest of the means?Select one:a. 7b. 10c. 13d. 16
Solution
To insert three arithmetic means between 4 and 16, we first need to find the common difference (d). The formula for the common difference in an arithmetic sequence is d = (b - a) / (n + 1), where a and b are the first and last terms, and n is the number of means.
Here, a = 4, b = 16, and n = 3.
So, d = (16 - 4) / (3 + 1) = 12 / 4 = 3.
The arithmetic means are then a + d, a + 2d, and a + 3d.
So, the three arithmetic means are 4 + 3 = 7, 4 + 23 = 10, and 4 + 33 = 13.
Therefore, the largest of the means is 13.
So, the answer is c. 13.
Similar Questions
The average of the first three of 4 numbers is 16 and the last 3 are 15. If the sum of the first and the last number is 13. What is the last number?Marks : 1Negative Marks : 0
The sum of three and four times anumber is greater than sixteen
Three geometric means are inserted between 3 and 48. What is the second in the inserted means?Select one:a. 6b. 12c. 24d. 48
The average of three numbers is 42. The first is twice the second and the second is twice the third. The difference between the largest and the smallest number is :Select one:a. 36b. 18c. 72d. 54
Fill in the blanks from the smallest number to the greatest number.16 is a common multiple of a few numbers smaller than 10.They are 1, , and .Submit Answer
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.