Question

If 17 arithmetic means are inserted between 7/2 and -83/2 , then the 17th AM is

Answer 1

Given: 17 arithmetic means are inserted between 7/2 and -83/2.

To find:  the 17th Arithmetic mean?

Solution:

• Now we have given that 17 arithmetic means are inserted between 7/2 and -83/2.

• So the numbers are:

                A1 = 1 + d

                A2 = 1 + 2d

                A3 = 1 + 3d

                ..................

                ..................

                A17 = 1 + 17d

                A18 = 1 + 18d

• But the 18th term is -83/2, so:

                -83/2 = 1 + 18d

                18d = -1 - 83/2

                18d = -85/2

                d = -85/36

• Now we have got the d, so putting the value in 17 th term, we get:

                A17 = 1 + 17(-85/36)

                A17 = 1 - 1445/36

                A17 = 36 - 1445 / 36

                A17 = -1409 / 36

                A17 = -39.138888

Answer:

            So the 17 th term is -39.138888