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Chapter 11: Q50. (page 582)

Refer to the first three arrays of numbers below.

Write an equation representing the nth number in this pattern?

Short Answer

Expert verified

The equation representing the nth number in the pattern is4n鈭�3 .

Step by step solution

01

Step 1. Given Information.

Given pattern is:

02

Step 2. Calculation.

The nth term of an arithmetic sequence is given byan=a1+(n鈭�1)d .

Here the first term is a1=1

The difference between the first two terms is 5鈭�1=4

The difference between the next two terms is 9鈭�5=4

Hence, the common difference is d=4

Plugging the values in the formula:

an=a1+(n鈭�1)dan=1+(n鈭�1)(4)an=1+4n鈭�4an=4n鈭�3

03

Step 3. Conclusion.

Hence, the equation representing the nth number in the pattern is 4n鈭�3

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Most popular questions from this chapter

Find a8 if an=4+3n

Find the next four terms of each arithmetic sequence.

31, 24, 17, 鈥�

WRITING IN MATH

Answer the question that was posed at the beginning of the lesson.

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3, ?, ?, ?, ?, ? , 27
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