Question

The 4th term of an Ap is 11. The sum of fifth and seventh terms of the A.P is 34.Find the (i) The First Term
(ii)common difference (iii) A.P

Answer 1

Step-by-step explanation:

a4 = 11

[a+(4-1)d] = 11

a + 3d = 11

a = 11-3d_______(1)

a5 + a7 = 34

[a+(5-1)d] + [a+(7-1)d] = 34

(a+4d) + (a+6d) = 34

a + 4d + a + 6d = 34

2a + 10d = 34

Putting value of a

2(11-3d) + 10d = 34

22 - 6d + 10d = 34

22 + 4d = 34

4d = 34-22

4d = 12

d = 12/4 = 3

a = 11 - 3d

a = 11-3×3

a = 11-9 = 2

(i) a(First term) = 2

(ii) d(Common difference) = 3

(iii) A.P = 2, 5, 8, 11,_______

Answer 2

Answer:

Step-by-step explanation: