Question

find the next term of the list of numbers 1/6,1/3,2/3,...​

Answer 1

It is a geometric progression with common ratio 2

Therefore next term will be

2/3*2

=4/3

Answer 2

The fourth term is 4/3

Solution:

Given that,

We have to find the next term of the list of numbers

$\frac{1}{6} , \frac{1}{3}, \frac{2}{3}$

This forms a Geometric sequence with common ratio 2

$First\ term = \frac{1}{6}\\\\Second\ term = \frac{1}{6} \times 2 = \frac{1}{3}\\\\Third\ term = \frac{1}{3} \times 2 = \frac{2}{3}\\\\Therefore\\\\Fourth\ term = \frac{2}{3} \times 2 = \frac{4}{3}$

Thus the fourth term is 4/3

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