Chapter 12: Q. 1 (page 1173)

In the following exercises, write the first five terms of the sequence whose general term is given $a_{n} = 2 n - 7$

Short Answer

Expert verified

The first five terms of the sequence whose general term is $a_{n} = 2 n - 7$ are $- 5, - 3, - 1, 1, 3 .$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegeneraltermforthesequenceisgivenas \\ a_{n} = 2 n - 7 \\ Wehavetofindthefirstfivetermsofthesequence. \end{array}$

Step 2. Calculating the first five terms.

$\begin{array}{l} Wewillsubstitute n = 1, 2, 3, 4 and 5 intheordertoobtainthefirstfivetermsofthesequence. \\ Now, \end{array}$

$\begin{matrix} n & 1 & 2 & 3 & 4 & 5 \\ a_{n} & \begin{array}{l} a_{1} = 2 (1) - 7 \\ = 2 - 7 \\ = - 5 \end{array} & \begin{array}{l} a_{2} = 2 (2) - 7 \\ = 4 - 7 \\ = - 3 \end{array} & \begin{array}{l} a_{3} = 2 (3) - 7 \\ = 6 - 7 \\ = - 1 \end{array} & \begin{array}{l} a_{4} = 2 (4) - 7 \\ = 8 - 7 \\ = 1 \end{array} & \begin{array}{l} a_{5} = 2 (5) - 7 \\ = 10 - 7 \\ = 3 \end{array} \end{matrix}$

Step 3. Conclusion

From the above step, we can conclude that the first five terms of the sequence will be $- 5, - 3, - 1, 1, 3 .$

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In the following exercises, write the first five terms of the sequence whose general term is given $a_{n} = 2 n - 7$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the first five terms.

Step 3. Conclusion

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In the following exercises, write the first five terms of the sequence whose general term is givenan=2n−7

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the first five terms.

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Calculus

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, write the first five terms of the sequence whose general term is given $a_{n} = 2 n - 7$