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Mathematics

Grade10

Easy

Question

What is missing term of the sequence?
$12 comma blank 18 comma blank box enclose blank end enclose comma fraction numerator 81 over denominator 2 end fraction comma fraction numerator 1 over denominator 27 end fraction horizontal ellipsis$

27
12
30
25

hint Hint:

The given sequence is in geometric sequence.So, the constant ratio between the terms will be same.

The correct answer is: 27

The given sequence is in geometric sequence.
So, the constant ratio between the terms will be same.
$r equals fraction numerator 18 over denominator 12 end fraction$
$equals fraction numerator 3 over denominator 2 end fraction$
Now, $fraction numerator box enclose blank end enclose over denominator 18 end fraction equals fraction numerator 3 over denominator 2 end fraction$
$box enclose blank end enclose equals 27$

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