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dezoksy [38]
3 years ago
9

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

Mathematics
1 answer:
kirill115 [55]3 years ago
5 0

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

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We have been given a system of equations y=\frac{1}{2}x-4 and y=-2x-9. We are asked to find the solution of our given system of equations.

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