Whats the missing term in the geometric sequence 36, __, 4?

1 Answer
Nov 27, 2015

x = 12

Explanation:

Now let the Middle term be x

36, x, 4

So the definition of a geometric series is

a, ar,ar^2 ....ar^(n-1
|_____|

    n terms

Now from this we can come to some results

1) ->36*r = x

This is because every step of the series is being multiplied by a common number r

2)-> x*r = 4

Now from ox1

=>36 *r*r = 4

=>cancel 4 *9 *r^2 = cancel4

=> r^2 = 1/9, r = 1/3

36*1/3 = x

cancel3 * 12*1/cancel3 = x

therefore x = 12