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Chapter 11: Q11. (page 581)

68 is the ___?__ th term of the arithmetic sequence -2, 3, 8, ... .

Short Answer

Expert verified

68 is the15th termof the arithmetic sequence -2, 3, 8, ....

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is -2, 3, 8, ...

02

Step 2. Calculation.

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

Here the first term is a1=鈭�2

The difference between the first two terms is 3鈭�(鈭�2)=3+2=5

The difference between the second two terms is 8鈭�3=5

The common difference is d=5

The given nth term is an=68

Plugging the values in the formula:

an=a1+(n鈭�1)d68=鈭�2+(n鈭�1)(5)68+2=(n鈭�1)(5)(n鈭�1)(5)=70n鈭�1=705n鈭�1=14n=14+1n=15

03

Step 3. Conclusion.

Hence, 68 is the 15th term of the arithmetic sequence -2, 3, 8, ... .

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