What’s the 38th term of the arithmetic sequence 31,40,49,58?

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference

we have

Let

we have that

so

The common difference is equal to 9

We can write an Arithmetic Sequence as a rule:

where

a_n is the nth term                                                              

a_1 is the first term

d is the common difference                        

n is the number of terms

Find the 38th term of the arithmetic sequence

we have                  

substitute the values

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.