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Chapter 11: Q56. (page 582)

The numbers x, y and z are the first three terms of an arithmetic sequence. Express z in terms of x and y.

Short Answer

Expert verified

z expressed in terms of x and y isz=2y−x .

Step by step solution

01

Step 1. Given Information.

Given first three terms of an arithmetic sequence are x, y, z.

02

Step 2. Calculation.

A sequence is said to be arithmetic when the difference between the consecutive terms is always the same.

Here the difference between the first two terms is y−x

The difference between the next two terms is z−y

So, the difference is equal.

z−y=y−xz=y−x+yz=2y−x

03

Step 3. Conclusion.

Hence, z expressed in terms of x and y is z=2y−x

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Most popular questions from this chapter

If an=1−5n, what is a10 ?

Find the indicated term of each arithmetic sequence.

a1=3,d=7,n=14

What number follows 20 in this arithmetic sequence?

8, 11, 14, 17, 20, …

A) 5

B) 23

C) 26

D) 29

Write an arithmetic series for which S5=10

Find the first five terms of each arithmetic sequence described.

a1=41,d=5
See all solutions

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