Question

in ap t4+t8=24
t6+t10=44
then tn=?
plz answers​

Answer 1

Answer:

tn = 5n - 18

Step-by-step explanation:

t4 = a + 3d

t8 = a + 7d

t6 = a + 5d

t10 = a + 9d

t4 + t8 = 24

a + 3d + a + 7d = 24

2a + 10d = 24

2(a + 5d) = 24

a + 5d = 24/2

a + 5d = 12 (equ 1)

t6 + t10 = 44

a + 5d + a + 9d = 44

12 + a + 9d = 44 (since a + 5d = 12)

a + 9d = 44 - 12

a + 9d = 32 (equ 2)

subtract equ (2) - (1)

a + 9d - a - 5d = 32 - 12

4d = 20

d = 20/4

d = 5

substitute d = 5 in equ (1)

a + 5d = 12

a + 5(5) = 12

a + 25 = 12

a = 12 - 25

a = -13

tn = a + (n-1)d

tn = -13 + (n-1)(5)

tn = -13 + 5n - 5

tn = 5n - 18

hope you get your answer