Question

The sum of three consecutive terms x, y and z of an arithmetic progression is 45. If y=1/2(x+z), find the value of y.​

Answer 1

Answer:

y = 15

Step-by-step explanation:

x + y + z = 45 → (1)

Given

y = $\frac{1}{2}$(x + z)

Multiply both sides by 2 to clear the fraction

2y = x + z ← substitute into (1)

2y + y = 45

3y = 45 ( divide both sides by 3 )

y = 15

Answer 2

Answer:

What is the common difference of the arithmetic sequence?

d= 7

What is the first term of the arithmetic sequence?

✔ –4

What values of x, y, and z complete the table for the arithmetic sequence?

x= 3

y= 10

z= 17

Step-by-step explanation:

for all three questions<3