Answer:
[tex]-80[/tex] and [tex]-160[/tex].
Step-by-step explanation:
We have been given a sequence [tex]-5,-10,-20,-40,...[/tex]. We are asked to find next two terms of our given sequence.
We can see that each next term of the sequence is two times the previous term of he sequence.
[tex]-5\times 2=-10[/tex]
[tex]-10\times 2=-20[/tex]
[tex]-20\times 2=-40[/tex]
To find the next term of our given sequence, we will multiply [tex]-40[/tex] by 2 as:
[tex]-40\times 2=-80[/tex]
To find the next term of our given sequence, we will multiply [tex]-80[/tex] by 2 as:
[tex]-80\times 2=-160[/tex]
Therefore, the next two terms of our given sequence are [tex]-80[/tex] and [tex]-160[/tex].
