Chapter 0, Problem 36P

To determine

To write: the verbal rule to describe the pattern and find the 10^th term.

Answer to Problem 36P

The 10th term of this sequence is 15.

Explanation of Solution

Given: $6,7,8,9,\mathrm{..}$

Calculation:

Observe the sequence, the first term is 6 and then there is increment of 1 during each step.

So, the counting starts from 6.

  $\begin{array}{l}{1}^{st}\text{term}=5+1\\ 2^{nd}\text{term}=5+2\\ 3^{rd}\text{term}=5+3\\ 4^{th}\text{term}=5+4\end{array}$

Thus, the $n^{th}$ term is given by $\left(5+n\right).$

Therefore, the value of the term is equal to five plus term number.

Now, find the 10th term in this sequence.

  $\begin{array}{l}{10}^{th}\text{term}=5+10\\ =15\end{array}$

Conclusion:

Hence, the 10th term of this sequence is 15.