Question

the sum of first and last term of the ap is 49 if the product of middle terms is 45 find the 4 numbers.
anyone answer this question ​

Answer 1

Answer:

The first term of an AP is 5, last term is 45 and the sum is 400. Find the number of terms and the common difference.

Step-by-step explanation:

Correct option is

A

n=16 and d=8/3

first term a=5, last term l=45 and S  

n

​

 = 400

Since, S  

n

​

=  

2

n

​

(a+l)

⇒400=  

2

n

​

(5+45)

⇒400=  

2

n

​

(50)

⇒400=n(25)

⇒n=16

Since, l=a+(n−1)d

⇒45=5+(16−1)d

⇒45−5=(15)d

⇒40=15d

⇒d=  

15

40

​

 

⇒d=  

3

8

​