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3 years ago

Find an equation for the nth term of the arithmetic sequence. -3, -5, -7, -9, ...

Mathematics

1 answer:

tankabanditka [31]3 years ago

7 0

Answer:

a(n) = -3 - 2(n-1)

Step-by-step explanation:

The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is

a(n) = a(1) + c(n-1), where c is the common difference.

Here a(1) = -3 and c = -2.

Thus,

a(n) = -3 - 2(n-1).

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Step-by-step explanation:

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3 years ago

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3 years ago

Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs

kari74 [83]

Answer:

$W = 16$

$T = 67$

Step-by-step explanation:

Represent trees with T and wreaths with W

Given

$T = 3 + 4 * W$

$2 * W + T = 99$

Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

$2*W + 3 + 4 * W = 99$

$2W + 3 + 4 W = 99$

Collect Like Terms

$2W + 4 W = 99 - 3$

$6W = 96$

Divide through by 6

$W =\frac{96}{6}$

$W = 16$

Hence, each wreath costs $16

Solving (b): Cost of T

$T = 3 + 4 * W$

Substitute 16 for W

$T = 3 + 4 * 16$

$T = 3 + 64$

$T = 67$

Hence, each tree costs $67

3 0

3 years ago