Find 5 arithmetic means between 7 and 4
We use the formula a(n) = a(1) + (n-1)d to determine the value of "d"
We know that 7 is the first known value (so, a(1) = 7) and we know 4 is the last value (so, a(n) = 4).
Further, we know there are five missing values (arithmetic means) between the 7 and 4. This gives us a total of 7 terms (so, n = 7)
4 = 7 + (7 - 1)d
4 = 7 + 6d
-3 = 6d
-0.5 = d; This means we add (-0.5) to each term to get the next.
We start with 4; then we get the five arithmetic means: 4.5, 5, 5.5, 6, 6.5
The next value would be the 7.
Hope that helps.
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