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Stels [109]
3 years ago
8

The first truck in a convoy will carry 12 tons of dirt while each additional truck will carry 8 tons of dirt. Write a rule to mo

del th situation. Then use the rule to find how many tons of dirt can be carried by 7 trucks. Let n represent the number of trucks and t represent the tons of dirt.
Mathematics
1 answer:
Mashutka [201]3 years ago
6 0
12 + 8n = t
 
68 tons of dirt will be hauled
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Step-by-step explanation:

For a geometric series,

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1). \sum_{t=1}^{5}3(2)^{t-1}

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   Therefore, sum of 5 terms of the series = \frac{3(2^5-1)}{(2-1)}

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2). \sum_{t=1}^{7}(2)^{t-1}

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   Number of terms 't' = 7

   Sum of 7 terms of this series = \frac{1(2^7-1)}{(2-1)}

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    Common ratio 'r' = 3

    Number of terms 't' = 5

   Therefore, sum of 5 terms = \frac{1(3^5-1)}{3-1}

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4). \sum_{t=1}^{4}2(3)^{t-1}

    First term 'a' = 2

    Common ratio 'r' = 3

    Number of terms 't' = 4

    Therefore, sum of 4 terms of the series = \frac{2(3^4-1)}{3-1}

                                                                       = 80

    80 < 93 < 121 < 127 will be the answer.

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