Question

If −2, a, bb, c, 14 forms an arithmetic sequence, find the values of a, b, and c.

Answer 1

Answer:

             a = 2, b = 6 and c = 10

Step-by-step explanation:

Here arithmetic sequence is given as −2, a, b, c, 14

First term, f = -2

Fifth term, f + 4d = 14

We have

                  -2  + 4d = 14

                          d = 4

Common difference , d = 4

We know that n th term of AP is

                             $t_n=f+(n-1)d$

We need to find a,b,c

              a = f + d = -2 + 4 = 2

              b = f + 2d = -2 + 2 x 4 = 6

              c = f + 3d = -2 + 3 x 4 = 10

So

             a = 2, b = 6 and c = 10