Question

Q. Find the respective values of X and y in the arithmetic progression
19, 26, x, y, 47, 54.​

Answer 1

Answer:

$x = 33 \: \: \: and \: \: \: y = 40$

Step-by-step explanation:

Here,

first term,a = 19

common difference,d1 = 26-19 = 7

d2 = 54-47 = 7

$a3 = a + (3-1)d$

$x = 19 + 2 \times 7 \: \: \: \: \: \: \: \: (a3 = x)$

$x = 19 + 14$

$\boxed{x = 33}$

$a4 = a + (4 - 1)d$

$y = 19 + 3 \times 7 \: \: \: \: \: \: \: \: (a4 = y)$

$y = 19 + 21$

$\boxed{y = 40}$

Answer 2

Answer:

X = 33

Y = 40

Step-by-step explanation:

19+7=26

26+7=33

33+7=40

40+7=47

47+7=54