Question

Find the A.P. whose seventh term is 5 and such that the sum of the third and fifth terms is 7.​

Answer 1

Answer:

what snap the question picture

Step-by-step explanation:

i think that answer is 0070705

Answer 2

Step by Step Explanation:

Given,

7th term=5

Sum of 3rd and 5th term=7

According to question,

a + 6d = 5 ------------------------ eq. 1.

a + 2d + a + 4d = 7

2a + 6d = 7 ----------------------- eq. 2.

From eq. 1., We obtain,

a + 6d = 5

a = 5 - 6d -------------------------- eq. 3.

Putting Value of eq. 3. in eq. 2.

2a + 6d = 7

2( 5 - 6d ) + 6d = 7

10 - 12d + 6d = 7

10 - 6d = 7

-6d = 7 - 10

6d = 3

d = 3/6

d = 1/2

Now, Putting value of d in eq. 1.,

a + 6d = 5

a + 6(1/2) = 5

a + 3 = 5

a = 5 - 3

a = 2

hence,

the A.P. forms is,

2 , 5/2 , 3 , 7/2 , 4 .