Question

insert 5 arithmetic means between 4 and 34

Answer 1

Hey MATE!

Let the series be :

4, a, b, c, d, e, 34.

So n = 7

a = 4

l = 28

34 = 4 + (7 - 1) d

30 = 6d

d = 5

Therefore AMs are:

a = a + d => 4 +5 = 9

b = 4 + 2(5) = 14

c = 4 + 3(5) = 19

d = 4 + 4(5) = 24

e = 4 + 5(5) = 29

Hope it helps

Hakuna Matata :))

Answer 2

Answer:

9 , 14 , 19 , 24 ,29

Step-by-step explanation:

Let the no. of AM be 'n'.

t1 = 4 t(n+2) = 34. c.d. = d [d not equals to 0]

S(n+2) = 133

Therefore,

S(n+2) = (n+2)\2 [t1 + t2]

133 = (n+2)\2 [4+34]

n = 5

t7 = 34

=> t1 + (7-1)d = 34

=> 4 + 6d = 34

=> 6d = 34

=> d = 5

Therefore the AM are 4+5 = 9 , 9+5 = 14 , 14+5 = 19 , 19+5 = 24 and 24+5 = 29.

HOPE IT WILL HELP YOU!

THANK YOU.