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Chapter 11: Q2. (page 580)

Find the 15th term in the arithmetic sequence -3, 4, 11, 18, 鈥�.

Short Answer

Expert verified

The 15th term in the arithmetic sequence is 95.

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is -3, 4, 11, 18, 鈥�.

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�3

The difference between the first two terms is 4鈭�(鈭�3)=4+3=7

The difference between the next two terms is 11鈭�4=7

Hence, the common difference is d=7

And the required term is n=15

Plugging the values in the formula:

an=a1+(n鈭�1)da15=鈭�3+(15鈭�1)(7)a15=鈭�3+(14)(7)a15=鈭�3+98a15=95

03

Step 3. Conclusion.

Hence, the 15th term of the arithmetic sequence is 95.

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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.

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Find the next four terms of each arithmetic sequence.

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