4 years ago

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.

Mathematics

1 answer:

Len [333]4 years ago

3 0

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

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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.​

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.