Find 5 arithmetic means between 7 and 4

Mathematics
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Find 5 arithmetic means between 7 and 4

May 12th, 2015

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)

So,

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.

May 12th, 2015

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