Question

Determine the AP whose 3rd term is 5 and the 7th term is 9.

Answer 1

I hope this solution will help u

Answer 2

Answer:

3, 4, 5, 6, ......

Step-by-step explanation:

We know, (a+2d) is the third term of an A.P. and (a+6d) is the seventh term of the A.P.

Where a is the first term and d is the common difference of the A.P.

Given that the 3rd term of an A.P. is 5 and the 7th term is 9.

Hence, (a+2d)=5 ....... (1)

And (a+6d)=9 ........ (2)

Now, from equation (1) and (2)  we get, (a+6d)-(a+2d) =9-5

⇒ 4d= 4

⇒ d =1.

Now, from Equation (1), a+ 2*1 =5, ⇒a=3.

Hence, the A.P. is 3, 4, 5, 6, ...... (Answer)