The sales of homes in a new development have been increasing. in january, 7 homes were sold, in
february, 12 homes were sold. in march, 17 homes were sold. this pattern continued for the remainder
of the year.
what is the explicit rule that can be used to find the number of homes sold in the nth month of the year?
• an = 5n + 2
an = 5n - 7
an = 5n - 2
an = 5n +7

The Arithmetic progression formed will be: 7, 12, 17, 22...

a = 7, d = 5

The nth term or an = a + (n-1)d

= 7 + (n-1)5

= 7 + 5n - 5

= 5n + 2

The answer is A. 5n + 2

Hope this helps!

34

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.