Find the 14th term of the series 6/5, 1, 6/7
Explanation:
To find the 14th term of the series, we need to first identify the pattern in the given series.
We can see that the series is alternating between two fractions - 6/5 and 6/7. The second term is 1, which is not a fraction. So, the pattern in the series can be represented as:
6/5, 1, 6/7, 1, 6/5, 1, 6/7, 1, ...
We can see that the series is repeating after every 4 terms. So, to find the 14th term, we need to find the remainder when 14 is divided by 4.
14 ÷ 4 = 3 remainder 2
This means that the 14th term will be the same as the second term in the third repetition of the pattern.
Solution:
To find the 14th term, we need to look at the third repetition of the pattern:
6/5, 1, 6/7, 1, 6/5, 1, 6/7, 1, 6/5, 1, 6/7, 1, 6/5, 1, 6/7, 1, ...
The second term in the third repetition of the pattern is 1. Therefore, the 14th term of the series is 1.
Answer:
The 14th term of the series 6/5, 1, 6/7 is 1.