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Chapter 11: Q51. (page 582)

Refer to the first three arrays of numbers below.

Is 397 a number in this pattern? Explain.

Short Answer

Expert verified

Yes,397 is a number in the pattern and is the100th term.

Step by step solution

01

Step 1. Given Information.

Given pattern is:

And the nth term is represented by an=4n鈭�3

02

Step 2. Calculation.

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

Here the given term is an=397

Plugging the values in the formula:

an=4n鈭�3397=4n鈭�34n=397+34n=400n=100

Since n is natural number, 397 is a number in the pattern.

03

Step 3. Conclusion.

Hence, 397 is a number in the pattern and is the 100th term.

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