Chapter 11: Q11. (page 581)

68 is the _? th term of the arithmetic sequence -2, 3, 8, ... .

Short Answer

Expert verified

68 is the15th termof the arithmetic sequence -2, 3, 8, ....

Step by step solution

Step 1. Given Information.

Given arithmetic sequence is -2, 3, 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 $a_{1} = - 2$

The difference between the first two terms is $3 - (- 2) = 3 + 2 = 5$

The difference between the second two terms is $8 - 3 = 5$

The common difference is $d = 5$

The given nth term is $a_{n} = 68$

Plugging the values in the formula:

$\begin{array}{l} a_{n} = a_{1} + (n - 1) d \\ 68 = - 2 + (n - 1) (5) \\ 68 + 2 = (n - 1) (5) \\ (n - 1) (5) = 70 \\ n - 1 = \frac{70}{5} \\ n - 1 = 14 \\ n = 14 + 1 \\ n = 15 \end{array}$

Step 3. Conclusion.

Hence, 68 is the 15^th term of the arithmetic sequence -2, 3, 8, ... .

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68 is the _? th term of the arithmetic sequence -2, 3, 8, ... .

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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68 is the ___?__ th term of the arithmetic sequence -2, 3, 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

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

68 is the _? th term of the arithmetic sequence -2, 3, 8, ... .