Question

║⊕QUESTION⊕║
Mathematics is a place where you can do things which you can't do in the real world...XD
↓
CLASS 11
SEQUENCES AND SERIES
↑
The sum of 4th and 8th terms of an A.P is 24 and the sum of 6th and 10th term is 34 find the first term and common difference

Answer 1

Answer:

Step-by-step explanation:

a4+a8=24

a+3d+a+7d=24

2a+10d=24. .........1

a6+a10=34

a+5d+a+9d=34

2a+14d=34. .,.......2

Subtracting 2 from 1

2a+14d=34

2a+10d=24

- - -

4d=10

d=4/10or 2/5

Put d= 2/5 in 1

2a+10×2/5=24

2a+4=24

2a=24-4

2a=20

a=10

Answer 2

Step-by-step explanation:

T4 + T8 = 24

a + 3d + a + 7d= 24

2a + 10d = 24 ....[1]

Similarly :

a + 5d + a + 9d = 34

2a + 14d = 34 ....[2]

Now upon solving

a = 10

d = 2/5