Question

Need help with math problem

Answer 1

(10)(-½) = (-5)
Hope it helps you.

Answer 2

Let the temperature be initially be t.

Let $\displaystyle{ d_n$ be the temperature after day 1 of the period where the teperature decreases.

For example,

$\displaystyle{ d_1$ is the temperature after the first day

$\displaystyle{ d_2$ is the temperature after the second day

and so on...

The temperatures during these 10 days are:

$d_0=t\\\\d_1=t-5\\\\d_2=(t-5)-5=t-2\cdot5\\\\d_3=(t-2\cdot5)-5=t-3\cdot5\\\\.\\\\.\\\\d_{10}=t-10\cdot5$

The change of the temperature each day, is given by the difference of the temperature in 2 consecutive days, for example day 4 and day 5:

$d_5-d_4=(t-5\cdot 5)-(t-4\cdot5)=t-25-t+20=-5$


In general, the equation can be given as :

$d_n-d_{n-1}=-5$


Remark: we cannot see the letters to "drag", so adopt them according to the variables that we defined in the solution.