IV. Solve each problem.
16. Find the value of a when arithmetic means of a +7 and a +3 is 3a + 9.
17. How many of multiples of 3 from 15 to 345?
18. Find the value of m so that 8m + 4, 6m --2, and 2m - 7 will form an arithmetic sequence.
19. The last term of arithmetic sequence is -104, the common difference is -13 and the number of
terms is 13. What is the first term?
20. How many numbers less than 500 but greater than 10 are divisible by 7?
16. Find the value of a when arithmetic means of a +7 and a +3 is 3a + 9.
17. How many of multiples of 3 from 15 to 345?
18. Find the value of m so that 8m + 4, 6m --2, and 2m - 7 will form an arithmetic sequence.
19. The last term of arithmetic sequence is -104, the common difference is -13 and the number of
terms is 13. What is the first term?
20. How many numbers less than 500 but greater than 10 are divisible by 7?
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Answer: 16. the AM of a & b = (a+ b)/2
with ref. to the above formula we have
[(a+7)+(a+3)]/2 = 3a + 9
(2a + 10)/2 = 3a + 9
a + 5 = 3a + 9
a -3a = 9-5
-2a = 4
a = -2
Step-by-step explanation: