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

Mathematics · High School · Thu Feb 04 2021

llm

Answered on Tue Mar 01 2022

Given arithmetic sequence is −2, a, b, c, 14

First term, f = -2

Fifth term, f + 4d = 14

So,

-2 + 4d = 14

d = 4

Common difference , d = 4

We know that nth term of AP is

Now, we have 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

Then,

a = 2, b = 6 and c = 10