#### Question

In an A.P, the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20^{th} term is –112.

#### Solution

First term = 2

Let *d* be the common difference of the A.P.

Therefore, the A.P. is 2, 2 + *d*, 2 + 2*d*, 2 + 3*d*, …

Sum of first five terms = 10 + 10*d*

Sum of next five terms = 10 + 35*d*

According to the given condition,

Is there an error in this question or solution?

Solution In an A.P, the First Term is 2 and the Sum of the First Five Terms is One-fourth of the Next Five Terms. Show that 20th Term is –112. Concept: Arithmetic Progression (A.P.).