The numbers shown above form a geometric progression. Find .
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A geometric sequence follows the pattern:
a , a r , a r 2 , . . . where a is the first term and r is the common ratio. Hence, in this case, we are asked to find the value of a , knowing that:
a = x
a r = 3 . 7 5
a r 2 = 5 . 6 2 5
If we divide 5.625 by 3.75 we get the common ratio. = 2 3
Then we divide 3.75 by the common ratio to get a . = 2.5