An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).
The equation for an arithmetic sequence is


is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so

<span>d=-2 because the question gives you that
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The answer is A. -9.
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<span>The answer is C. 158</span>
For the second one, it gives you

and <span>

You can use this to find d
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Now you can just solve using the equation normally.
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The answer is C. 158
59 is a "prime number". It has no factors except ' 1 ' and itself.
So the only possibility is 1 x 59 .
P = 2(l + w)
p = 356
l = 96
356 = 2(96 + w)
356 = 192 + 2w
356 - 192 = 2w
164 = 2w
164/2 = w
82 = w
check....
p = 2(l + w)
356 = 2(96 + 82)
356 = 2(178)
356 = 356 (correct)
so the width (w) = 82 cm