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Chapter 7: Q. 47 (page 592)

Write each of the arithmetic sequences in Exercises 47–50 in the form ${c + d k}_{k = 0}^{\infty}$
$- 3, 7, 17, 27, \dots$

Short Answer

Expert verified

The required form is ${- 3 + 10 k}_{k = 0}^{\infty}$ .

Step by step solution

Step 1. Given information.

The given series is $- 3, 7, 17, 27, \dots$

Step 2. Required form.

On comparing the series with ${c, c + d, c + 2 d, \dots}$ , we get,

$c = - 3, c + d = 7 - 3 + d = 7 d = 7 + 3 d = 10$

Therefore,

${c + d k}_{k = 0}^{\infty} can be written as {- 3 + 10 k}_{k = 0}^{\infty} .$

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Write each of the arithmetic sequences in Exercises 47–50 in the form {c+dk}k=0∞-3,7,17,27,…

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Required form.

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Most popular questions from this chapter

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Write each of the arithmetic sequences in Exercises 47–50 in the form ${c + d k}_{k = 0}^{\infty}$
$- 3, 7, 17, 27, \dots$