Math, asked by gresikatisha, 3 months ago

3 The sum of the 4th and 8th terms of an AP is
24 and the sum of the 6th and 10th terms is
44. Find the first three terms of the AP.
1.​

Answers

Answered by shiphra52001
0

Answer:

Step-by-step explanation:

a4 + a8 = 24

(a + 3d) + (a + 7d) = 24

a + 3d + a + 7d = 24

2a + 10d = 24 {divided by 2}

a + 5d = 12 ------- eq1

a6 + a10 = 44

(a + 5d) + (a+ 9d) = 44

a + 5d + a + 9d = 44

2a + 14d = 44 {divided by 2}

a + 7d = 22 ------- eq2

From 1 and 2

a + 7d = 22

a + 5d = 12

     2d = 10

2d = 10

d = 10/2

d = 5

From 1

a + 5d = 12

a + 5(5) = 12

a + 25 = 12

a = 12 - 25

a = -13

AP : -13, -8, -3

The terms of AP are written in the form - a, a+d, a+2d, a+3d........

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