arithmetic sequence mean insert the indicated numbers of arithmetic means between the given first and last term of an arithmetic sequence 1) -16 and -8 [3]
Answer (1)
Answer:Here's how to insert three arithmetic means between -16 and -8: 1. Find the common difference: - An arithmetic sequence has a constant difference between consecutive terms. Let's call this common difference "d".- We have 5 terms in total (-16, mean1, mean2, mean3, -8).- The difference between the first and last term is -8 - (-16) = 8.- This difference is spread across 4 intervals (between the 5 terms), so the common difference is 8 / 4 = 2. 2. Calculate the arithmetic means: - Start with the first term, -16.- Add the common difference (2) repeatedly to find the means:- -16 + 2 = -14 (first arithmetic mean)- -14 + 2 = -12 (second arithmetic mean)- -12 + 2 = -10 (third arithmetic mean) 3. The complete sequence: The arithmetic sequence is: -16, -14, -12, -10, -8
