Given parameters:
Terms of the sequence = 7/8 , 3/4 , 9/14
From terms, we know that our first term is [tex]\frac{7}{8}[/tex]
We need find either of the common difference or the common ratio of this sequence.
For this, the common ratio is applicable.
Common ratio = [tex]\frac{3}{4} / \frac{7}{8}[/tex]
This is the factor by which when we multiply the subsequent terms with results into them;
Solving the above gives [tex]\frac{6}{7}[/tex]
The common ratio is 6/7.
To find the nth of this sequence we apply the formula below;
A[tex]_{n}[/tex] = Arⁿ⁻¹
Aₙ is the term we are looking for
A is the first term of the sequence
r is the common ratio
n is the position of the term
So for any nth term in this sequence;
Aₙ = [tex]\frac{7}{8}[/tex] x [tex]\frac{6}{7}[/tex] ⁿ⁻¹
We can use the above solution to find any term in the sequence.
