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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

Find the indicated term of each arithmetic sequence.

a1=鈭�4,d=鈭�9,n=20

Find the arithmetic means in each sequence.

10, ? , ? , -8

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

18, 11, 4, -3, ... .

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?

Refer to the first three arrays of numbers below.

Is 397 a number in this pattern? Explain.
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