1 Answer

Nad Pat · Answer 1 · 2023-03-03T22:05:29+0000

Given sequence:

$(1)/(2),\text{ }1,\text{ }(3)/(2),2$

To find the 109th term, we need to first determine whether the sequence follows an arithmetic progression or a geometric progression.

Check

The sequence is arithmetic if the successive terms of the sequence are formed by adding or subtracting a value.

The sequence is geometric if the successive terms of the sequence are formed by multiplying or dividing by a value.

We have that:

first term = 1/2

second term = 1

third term = 3/2

Taking the difference of the second term from the first term:

$\begin{gathered} =\text{ 1-}(1)/(2) \\ \text{ = }(1)/(2) \end{gathered}$

Taking the difference of the third term from the second term:

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