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Chapter 12: Q. 260 (page 1218)

In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.

1,2,4,8,16,32,鈥�

Short Answer

Expert verified

The sequence 1,2,4,8,16,32,鈥�is not arithmetic.

Step by step solution

01

Step 1. Given information

The sequence is1,2,4,8,16,32,鈥�

We have to determine if this sequence is arithmetic, and if so, we have to indicate the common difference.

02

Step 2. Find the difference between the consecutive terms

Find the difference between each term and its preceding term.

2-1=14-2=28-4=416-8=832-16=16

03

Step 3. Check if the difference is constant

Since the difference is not found to be constant, this sequence is not arithmetic.

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Most popular questions from this chapter

Determine if each sequence is arithmetic. If so, indicate the common difference.

(a)鈭�4,4,2,10,8,16,鈥�(b)鈭�3,鈭�1,1,3,5,7,鈥�(c)7,2,鈭�3,鈭�8,鈭�13,鈭�18,鈥�

Find the fifth term of(a+b)8

Expand the partial sum and find its value:鈭�i=154i

Find the sum:鈭�i=1355i鈭�3

In the following exercises, expand each binomial using Pascal's Triangle.

(x+4)4
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