Fill in the next two terms of the arithmetic sequence: –18, –7, 4, 15,

-18 + 11 = -7 + 11 = 4 + 11 = 15 + 11 = 26 + 11 = 37

The next two terms in the sequence are 26 and 37.

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The age of the person who entered the room is 15

Step-by-step explanation:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, the mean age of 6 people is 17.

We need to find the age of person who entered the room.

We know that:

Now, we have mean of 6 people that is 17

We know the age of 5 people while age of one person is unknown.

Let age of person which is unknown= x

So, we can write:

Sum of all data values = 17+16+ 15+ 17+ 22+x

where x is the age of person who enters the room.

Finding x

So, we get the value of x: x=15

Therefore, the age of the person who entered the room is 15.