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Chapter 5: Problem 113

Express each sentence as a single numerical expression. Then use the order of operations to simplify the expression. Subtract 10 from 7. Multiply this difference by 2 . Square this product.

Short Answer

Expert verified
The result of subtracting 10 from 7, multiplying this difference by 2, and then squaring this product is 36.

Step by step solution

01

Perform Subtraction

Subtract 10 from 7. The result is a negative number because we are subtracting a larger number from a smaller number: \(7 - 10 = -3\).
02

Perform Multiplication

The previous step yielded -3. Now, multiply this difference by 2: \(-3 * 2 = -6\).
03

Square the Result

Finally, square this product: \((-6)^2 = 36\).

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Most popular questions from this chapter

Write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for \(a_{n}\) to find \(a_{7}\), the seventh term of the sequence. \(0.0007,-0.007,0.07,-0.7, \ldots\)

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{200}\), when \(a_{1}=60, r=1\).

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{4}\), when \(a_{1}=4, r=-3\).

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I've noticed that the big difference between arithmetic and geometric sequences is that arithmetic sequences are based on addition and geometric sequences are based on multiplication.

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{6}\), when \(a_{1}=-2, r=-3\).
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