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, … .

Step by step solution

Step 1. Given Information.

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

Step 2. Calculation.

The n^th term of an arithmetic sequence is given by $a_{n} = a_{1} + (n - 1) d$ .

Here the first term is $a_{1} = - 4$

The difference between the first two terms is $2 - (- 4) = 2 + 4 = 6$

The difference between the second two terms is $8 - 2 = 6$

The common difference is $d = 6$

The given nth term is $a_{n} = 170$

Plugging the values in the formula:

$\begin{array}{l} a_{n} = a_{1} + (n - 1) d \\ 170 = - 4 + (n - 1) (6) \\ 170 + 4 = (n - 1) (6) \\ (n - 1) (6) = 174 \\ n - 1 = \frac{174}{6} \\ n - 1 = 29 \\ n = 29 + 1 \\ n = 30 \end{array}$

Step 3. Conclusion.

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

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Complete the statement for each arithmetic sequence.
170 is the _? term of -4, 2, 8, ... .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Complete the statement for each arithmetic sequence.170 is the ___?__ term of -4, 2, 8, ... .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Geometry

Logic and Functions

Pure Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Complete the statement for each arithmetic sequence.
170 is the _? term of -4, 2, 8, ... .