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Chapter 11: Q44. (page 582)

Complete the statement for each arithmetic sequence.

124 is the ___?__ term of -2, 5, 12, ... .

Short Answer

Expert verified

124 is the19th termof the arithmetic sequence -2, 5, 12, 鈥�.

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is -2, 5, 12, ...

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 5鈭�(鈭�2)=5+2=7

The difference between the second two terms is 12鈭�5=7

The common difference is d=7

The given nth term is an=124

Plugging the values in the formula:

an=a1+(n鈭�1)d124=鈭�2+(n鈭�1)(7)124+2=(n鈭�1)(7)(n鈭�1)(7)=126n鈭�1=1267n鈭�1=18n=18+1n=19

03

Step 3. Conclusion.

Hence, 124 is the 19th term of the arithmetic sequence -2, 5, 12, 鈥� .

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