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Chapter 11: Q43. (page 582)

Complete the statement for each arithmetic sequence.

170 is the ___?__ term of -4, 2, 8, ... .

Short Answer

Expert verified

170 is the30thterm of the arithmetic sequence -4, 2, 8, 鈥� .

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is -4, 2, 8, ...

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=鈭�4

The difference between the first two terms is 2鈭�(鈭�4)=2+4=6

The difference between the second two terms is 8鈭�2=6

The common difference is d=6

The given nth term is an=170

Plugging the values in the formula:

an=a1+(n鈭�1)d170=鈭�4+(n鈭�1)(6)170+4=(n鈭�1)(6)(n鈭�1)(6)=174n鈭�1=1746n鈭�1=29n=29+1n=30

03

Step 3. Conclusion.

Hence, 170 is the 30th term of the arithmetic sequence -4, 2, 8, 鈥� .

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Most popular questions from this chapter

Find the first five terms of each arithmetic sequence described.

a1=14,d=鈭�2

To prove that objects of different weights fall at the same rate, Galileo dropped two objects with different weights from the Leaning Tower of Pisa in Italy. The objects hit the ground at the same time. When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight.How many feet would an object fall in the tenth second?

Solve each equation.

3ex鈭�2=0

Find the next four terms of each arithmetic sequence.

31, 24, 17, 鈥�

Write an equation for the nth term of each arithmetic sequence.

-3, -5, -7, -9, ... .
See all solutions

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