Question

determine the A.P.whose 3rd term is5and 7th termnis 9​

Answer 1

Answer:

3rd term of the AP: a+2d = 5 …(1)

7th term: a+6d = 9 …(2)

Subtract (1) from (2)

4d = 4, or

d = 1 and so a = 3.

The AP is 3,4,5,6,….

Step-by-step explanation:

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Answer 2

Answer:

ap is 3,4,5,6.....

Step-by-step explanation:

take first term as A and common difference as D

now according to the question

A+2D =5 ...........(1)

and

A+6D =9 ...........(2)

substract (1) from (2)

you get ,

D=1

now putting value of D at (1) you get A=3

so now the ap is 3,4,5,6,7......