Determine the next term in the sequence: 3, 6, 9, …

12
15
18
27

Option (A)  

The next term in the sequence 3, 6, 9, …  is 12

Solution:

Given sequence is 3, 6, 9,…

Let say first term

Second term

And third term

Now let’s determine the common difference ‘d’ that is

Since

so given series is arithmetic progressions. We need next term that is

Formula of nth term of AP is as follows,

So fourth term is when n = 4,

So next term of given sequence is 12. Hence option (A) is correct.

she played for 18.75 hours.

step-by-step explanation:

if she played 2/4 of a hour on tuesday. and there is 60 minutes in an hour and 60 divided by 4 is 7.5. and she played 2/4 of an hour on thursday then again 60 divided by 4 is 7.5, you add 7.5+7.5=56.25. now you have to do 1/4 of an hour, it equals 3.75. now you have to add them all up. 3.75+7.5+7.5=18.75

i hope this and i hope you get it right. it took me a while to get this done for you. : )

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.