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Chapter 11: Q. 21 (page 586)

Find the next four terms of each arithmetic sequence.

6.7, 6.3, 5.9, …

Short Answer

Expert verified

The next four terms of the arithmetic sequence are5.5, 5.1, 4.7, 4.3.

Step by step solution

01

Step 1. Given Information.

The given arithmetic sequence is 6.7, 6.3, 5.9, …

02

Step 2. Calculation.

A sequence is said to be arithmetic when the difference between the consecutive terms is always the same.

Here the difference between the first two terms is 6.3−6.7=−0.4

The difference between the next two terms is 5.9−6.3=−0.4

So, the common difference is -0.4.

The next term in the arithmetic sequence is 5.9−0.4=5.5

The next term in the arithmetic sequence is 5.5−0.4=5.1

The next term in the arithmetic sequence is 5.1−0.4=4.7

The next term in the arithmetic sequence is 4.7−0.4=4.3

03

Step 3. Conclusion.

Hence, the next four terms of the arithmetic sequence are 5.5, 5.1, 4.7, 4.3.

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Most popular questions from this chapter

The African-American festival of Kwanzaa includes a ritual involving candles. The first night, a candle is lit and then blown out. The second night, a new candle and the candle from the previous night are lit and blown out. This pattern of lighting a new candle and relighting all the candles from the previous nights is continued for seven nights.Use a formula from this lesson to find the total number of candle lightings during the festival.

Refer to the first three arrays of numbers below.

Write an equation representing the nth number in this pattern?

Evaluate each expression for the given values of the variable.

4m+7;m=1,2,3,4,5

If an=1−5n, what is a10 ?

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

7, 16, 25, 34, ....
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