Chapter 8, Problem 2PT

To determine

To find: the 10th term of the given sequence.

Answer to Problem 2PT

The equation that describe the sequence $2,7,12,17,\mathrm{...}$ is $t=5n-3$

And. the value of 10th term of sequence is 47

Explanation of Solution

Given:

Consider the sequence: $2,7,12,17,\mathrm{...}$

Calculation:

In the sequence, the terms have common difference of 5.

And, a term is 3 less than five times the term number. It means that the equation of sequence is: $t=5n-3$

Now, in order to calculate the value of 10th term of the sequence, put the value of $n=10$ in the equation.

  $\begin{array}{c}t=5\left(10\right)-3\\ =50-3\\ =47\end{array}$

Conclusion:

Therefore, the equation that describe the sequence $2,7,12,17,\mathrm{...}$ is $t=5n-3$

And. the value of 10th term of sequence is 47