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Chapter 11: Q. 27 (page 586)

Find the first five terms of each arithmetic sequence described.

a1=43,d=鈭�13

Short Answer

Expert verified

The first five terms of the arithmetic sequence described are43,1,23,13,0 .

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is described by a1=43,d=鈭�13

02

Step 2. Calculation.

In an arithmetic sequence a term can be obtained by adding the common difference to the previous term.

Here the first term is a1=43

And, the common difference is d=鈭�13.

The second term in the arithmetic sequence is:

a2=a1+da2=43鈭�13a2=1

The third term in the arithmetic sequence is:

a3=a2+da3=1鈭�13a3=23

The fourth term in the arithmetic sequence is:

a4=a3+da4=23鈭�13a4=13

The fifth term in the arithmetic sequence is:

a5=a4+da5=13鈭�13a5=0

03

Step 3. Conclusion.

Hence, the first five terms of the arithmetic sequence described are 43,1,23,13,0.

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Most popular questions from this chapter

Find a8 if an=4+3n

What number follows 20 in this arithmetic sequence?

8, 11, 14, 17, 20, 鈥�

A) 5

B) 23

C) 26

D) 29

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
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