Question

sum ofthe 4 term and 8 term of an AP is 24 and sum of the 6 term and 10 th term is 44 find ap​

Answer 1

    Answer:

              ∴  AP : -13 , -8 , -3 , 2 , 7

Step-by-step explanation:

AP : a1 , a2 , a3 , a4

AP : a , a+d , a+2d , a+3d

    a4 + a8 = 24

a+3d + a+7d = 24

2a + 10d = 24

2(a + 5d) = 24

a + 5d = 24 / 2

a + 5d  = 12

a = 12 - 5d ------{i}

   a6 + a10 = 44

a+5d + a+9d = 44

2a + 14d = 44

2(a+7d) = 44

a + 7d = 44/2

a + 7d = 22

a = 22 - 7d ------{ii}

    from {i} and {ii}

12 - 5d = 22 - 7d

7d - 5d = 22 - 12

2d = 10

d = 5

from {i} ------ a = 12 - 5d

a = 12 - (5×5)

a = 12 - 25

a = -13

AP : a , a+d , a+2d , a+3d

∴  AP : -13 , -8 , -3 , 2 , 7

                   

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