Question

let a1, a2, a3, a4 be in ap if a1 +a4 =10 and a2a3 =24 then the least term of them is..?please help me ​

Answer 1

Answer:

Step-by-step explanation:

Let the four terms in an AP are (a−3d),(a−d),(a+d) and (a+3d).

Given, a  

1

​  

+a  

4

​  

=10

⇒(a−3d)+(a+3d)=10

⇒2a=10⇒a=5

and a  

2

​  

⋅a  

3

​  

=24

⇒(a−d)(a+d)=24

⇒(a  

2

−d  

2

)=24

⇒25−d  

2

=24

⇒d  

2

=1

Therefore, d=±1

When (d=1), then terms are : 2,4,6,8

and when (d=−1), then terms are: 8,6,4,2.