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Sequences & Series

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  • Tom formed a sequence of numbers using the equation 2x + 1 = ___ as shown. What are the first 5 terms in Tom’s sequence?

    3, 7, 15, 31, 62
    3, 7, 15, 31, 63
    3, 7, 15, 30, 61
    3, 7, 15, 30, 60


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  • Melissa created the number pattern shown. 124, 60, 28, 12, 4, . . . Which rule describes how to find the next term in Melissa’s pattern?

    Take half of the previous number and subtract 2.
    Double the previous number and add 2.
    Take half of the previous number and add 2.
    Double the previous number and subtract 2.


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  • The table shows the total balance in four people’s savings accounts at the end of each month In which person’s account did the balance show a constant rate of increase over the six-month period?

    Julie
    Stuart
    Sarah
    Michael


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  • The depth of a lake is measured at the same location and on the same day every year for a number of years. The table shows the measurements. If the pattern continued, what was the depth of the lake in 2002?

    30 feet
    29 feet
    28 feet
    25 feet


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  • Find the next two numbers for this arithmetic sequence: 10, -4, -18, -32, __, __

    -38, -44
    -44, -52
    -46, -60
    -52, -68


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  • What number is missing? 56, 44, 34, 26, ___, 16, 14

    18
    20
    22
    24


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  • Mari's teacher put a red dot on 1, 4, 9, and 16 on a number line. The teacher asked Mari to continue the same pattern by putting 3 more dots on the same number line. Which number did Mari put the third dot on?

    23
    25
    36
    49


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  • How many cubes will be in the 5th pattern?

    15 cubes
    25 cubes
    75 cubes
    125 cubes


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  • Mari’s allowance increases by $1.00 each week. She receives $4.00 the first week. How much money will she receive the fourth week?

    $6.00
    $7.00
    $8.00
    $9.00


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  • The state fair was in town, and everyone was excited. The carnival games were the most popular attractions. The first day the fair was open, 2 people won stuffed animals. The second day 4 people won, the third day 6 people won, and so on. If the fair was open for n days, how many people would win on the nth day, if this pattern continued?

    2+n
    2n
    n/2
    2/n


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  • Marta has a garden. Every week more flowers grow. One flower grows during week 1. Three flowers grow during week 2. The pattern continues, as shown in the table. How many flowers grow during week 9?

    37
    40
    45
    56


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  • Allen built these figures using triangular tiles. What would be the perimeter of the tenth figure?

    10 units
    12 units
    21 units
    30 units


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