Chapter 7.9, Problem 5CYU

To determine

To Find: The next three terms of geometric sequence $10,20,40,\mathrm{80.....}$ .

Answer to Problem 5CYU

Next three terms of the sequence are: $160,320\&640$

Explanation of Solution

Given information:

Geometric sequence $10,20,40,\mathrm{80.....}$ .

Concept and Formula Used:

Geometric Sequence: Sequence in which each term after the first is found by multiplying the previous term by a constant called common ratio.

Calculation:

It is given that geometric sequence $10,20,40,\mathrm{80.....}$

Common ratio is

  $\begin{array}{l}r=\frac{20}{10}=\frac{40}{20}=\frac{80}{40}=2\\ \text{Then next term three terms are}\\ 80\times 2=160\\ 160\times 2=320\\ 320\times 2=640\end{array}$

Conclusion:

Next three terms of the sequence are: $160,320\&640$