Question

If 20,x,y,z,25 are in AP .find the value of X,y,z.​

Answer 1

Answers:

• x = 21.25
• y = 22.5
• z = 23.75

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Work Shown:

AP = arithmetic progression, which is the same as arithmetic sequence

d = common difference

• x = 20+d
• y = 20+2d
• z = 20+3d

Notice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.

So that must mean 25 is the same as 20+4d

20+4d = 25

4d = 25-20

4d = 5

d = 5/4

d = 1.25

and therefore,

• x = 20+d = 20+1.25 = 21.25
• y = 20+2d = 20+2*1.25 = 22.5
• z = 20+3d = 20+3*1.25 = 23.75

We could convert these to fraction form, but I find decimal form is easier in this case.