Question

Find a formula b n

​
for the n-th term of the following sequence. Assume the series begins at n=1. 6
4
​
, 7
5
​
, 8
6
​
,… (Use symbolic notation and fractions where needed.) b n
​
=

Answer 1

The formula for the nth term of the sequence (b_n) can be written as: b_n = n+5/n+3, which indicates the numerator is 'n' plus 5 and the denominator is 'n' plus 3.

Step-by-step explanation:

In this sequence, we can observe that with each term, the numerator increases by 1 and the denominator increases by 1 as well. So, by analyzing this pattern, we obtain a formula for the nth term. The formula for the nth term of the sequence (b_n) can be written as:

b_n = n + 5/n+3

This formula means that for any term of the sequence, the numerator is 'n' plus 5, and the denominator is 'n' plus 3.

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