Question

Find the missing terms x and y of the arithmetic sequence 8,x,16,y,24.

Answer 1

Answer:

Step-by-step explanation:

x=8+16/2=12

y=16+24/2=20

if a,b,c

b=a+c/2

Answer 2

$\mathbb{\bold {ANSWER}}$

x = 12

y = 20

$\mathbb{\bold {EXPLANATION}}$

We know that,

if A, B, C are in AP

then, arithmetic mean between 2 numbers (A and C) of an AP is B

B = (A + C)/2

Since,

x lies between 8 and 16

x = (8 + 16)/2

x = 24/2

x = 12

y lies between 16 and 24

y = (16 + 24)/2

y = 40/2

y = 20

Hence the given AP is 8, 12, 16, 20, 24

Here

First term = a = 8

Common difference = d = 4