Question

In an arithmetic progression there are 6 terms and their sum is 3. the first term is 4 times the third term. the fifth term in the progression is?

Answer 1

the fifth term is
$- 4$

the progression is 8,5,2,-1,-4,-7.......

Answer 2

In arithmetic progression let the first term be a. Common difference = d.

The nth term of the progression tn = a + (n-1) d => t6 = a+ 5d.

a = 4 t3.  

The fifth term of the arithmetic progression is -4.

The series is given as 8, 5, 2, -1, -4, -7.