Math, asked by rajpalnamberdar8337, 1 year ago

The sum of the 4th and 8th terms of an ap is 24 and sum of 6th and 10th term is 44 find ap

Answers

Answered by baliramshinde7148
1

Answer:

Step-by-step explanation:

t4=a+3d. .........(1)

t8=a+7d. ..........(2)

t4+t8=a+5d.

12=a+5d. ......(3)

t6=a+5d. .......(4)

t10=a+9d. .......(5)

t6+t10=a+7d

22=a+7d. .........(6)

now(3)-(6)

d=5. & a=-13

AP is. -13,-8,-3,2......…..…

Answered by BendingReality
1

Answer:

- 13 , - 8 , - 3 .

Step-by-step explanation:

Let the first term a and common difference be d.

We know :

t_n = a + ( n - 1 ) d

t_4 = a + 3 d

t_8 = a + 7 d

We have given :

t_4 + t_8 = 24

2 a + 10 d = 24

a + 5 d = 12

a = 12 - 5 d ....( i )

t_6 = a + 5 d

t_10 = a + 9 d

: t_6 + t_10 = 44

2 a + 14 d = 44

a + 7 d = 22

a = 22 - 7 d ... ( ii )

From ( i ) and  ( ii )

12 - 5 d = 22 - 7 d

7 d - 5 d = 22 - 12

2 d = 10

d = 5

We have :

a = 12 - 5 d

a = 12 - 25

a = - 13

Now required answer as :

- 13 , - 8 , - 3 .

Finally we get answer.

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