Question

If a, b, c and d are in AP, such that its common difference = 11 and a = 2 , then find the arithmetic mean of a, b , c and d.

Answer 1

Answer:

18.5

Step-by-step explanation:

for finding 4th term 'd' (here n will be 4)

a + (n - 1) d

2+((4)-1)11

2+11(3)

=>d=35

for finding 3rd term 'c' (here n will be 3)

a + (n - 1) d

2+((3)-1)11

2+11(2)

=>c=24

for finding 2nd term 'b' (here n will be 2)

a + (n - 1) d

2+((2)-1)11

2+11(1)

=>b=13

now

mean=(a+b+c+d)/4

mean=(2+13+24+35)/4

mean = 74/4

mean = 18.5

therefore the arithmetic mean of a, b , c and d  is 18.5

HOPE IT HELPS