Chapter 8, Problem 15SGR

To determine

To write:an equation that describes the given sequence

Answer to Problem 15SGR

50^th term of sequence is 350

Explanation of Solution

Given: Consider the sequence: $7,14,21,28,\mathrm{...}$

Calculation:

In the sequence, the terms have common difference of 7.

And, a term is seven times the term number. It means that the equation of sequence is:

  $t=7n$

Now, in order to calculate the value of 50th term of the sequence, put the value of $n=50$ in the equation.

  $\begin{array}{l}t=7\left(50\right)\\ =350\end{array}$

Therefore, the equation that describe the sequence $7,14,21,28,\mathrm{...}$ is $t=7n$

And, the value of 50^thterm of sequence is 350.

Conclusion:

Therefore, the equation that describe the sequence $7,14,21,28,\mathrm{...}$ is $t=7n$ and the 50^thterm is 350.