Question

The sum of the 4’th and 8’th terms of an AP is 24 and the sum of the 6’th and 10’th terms is 44. Find First three terms of the AP.

Answer 1

Answer:

d = 5

a = -13

AP = -13, -8, -3..

Step-by-step explanation:

4th + 8th = a + 3d + a + 7d

               => 2a + 10d = 24

              => a + 5d = 12

6th + 10th = a + 5d + a + 9d

               => 2a + 14d = 44

               => a + 7d = 22

-Solving the simultaneous eqns.-

a + 7d - a - 5d = 22 - 12 = 10

=> 2d = 10 => d = 5

a + 5d = 12

=>  a + 5*5 = 12

=> a + 25 = 12

=> a  = 12 - 25

=> a = -13

Answer 2

Answer:

Step-by-step explanation:

a +3d+a+7d=24

⇒2a +10d= 24

⇒a+5d=12  let this be equation 1

a +5d +a+9d = 44

⇒2a+14d=44

⇒a +7d=22   Let this be equation 2

solving equation 1 and 2

d=5 and a= -13

AP is -13,-8,-3......