Math

1. How many triangles will there be in the 7th term of the following sequence?
(1 triangle, 4 triangles, 7 triangles, etc.)
A. 19***
B. 22
C. 16
D. 8

2. Rachel is placing playing cards on a table by following these steps.
Step 1: First she places one card in the middle of the table.
Step 2: Next she adds one more card directly to the left, to the right, above, and below the first card.
Step 3: Next she adds one more card directly to the left, to the right, above, and below the cards that were already on the table.

a. If Rachel continues the same pattern, how many cards will be on the table after Rachel completes Step 4?
my answer: 13 cards
b. Write the first 6 terms of the sequence that represents the total number of cards on the table after each step.
my answer: 1 card, 4 cards, 7 cards, 10 cards, 13 cards, 16 cards
c. Describe the pattern in the sequence.
my answer: Rachel adds 4 cards after during each step she completes.

3. Describe the pattern in the sequence and determine the next term of the sequence.
(triangle, square, pentagon, then a hexagon)
my answer: The pattern is after each shape, 1 side is added. The next term would be a shape with 7 sides.

I need my answers to be checked, thank you !

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  1. I also feel like I worded certain sentences wrong, so I need help with that too please and thank you :)

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  2. #1 and #2 are the same sequence, so #2 should be easy
    (a) you want the sum of the 1st 4 terms
    (b) correct
    (c) since you got (b) correct, how could you miss this part? (and what does "after during" mean, anyway?)
    #3 is correct

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    oobleck
  3. oops. #2b is just the 4th term, not the sum.

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    oobleck
  4. So, #1 is right
    #2 (a) is 10
    #2(b) is right
    #2(c) is Rachel adds 3 cards after each step she completes
    and #3 is right

    Is this correct?

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  5. But on #2 I am confused because after the second step, wouldn't she have 5 cards since she already put 1 card in the middle after the first step and added 4 cards after the second step?

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  6. huh? You yourself wrote

    b. Write the first 6 terms of the sequence that represents the total number of cards on the table after each step.
    my answer: 1 card, 4 cards, 7 cards, 10 cards, 13 cards, 16 cards

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    oobleck
  7. I know and then I looked at it again and changed my answer to 1 card, 5 cards, 9 cards, 13 cards, 17 cards, 21 cards

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