To find the 6th term in the sequence whose nth term is represented by the formula 7n-1, substitute 6 in place of n into the formula. This gives 7*6 - 1, which equals 41.
The question is: If the nth term of a sequence is 7n-1, what is the 6th term?
In order to find this, we can substitute 6 into the formula for the nth term, in place of n.
Following the formula, we get 7n-1, replace n with 6, hence, the formula looks like 7*6 - 1.
Therefore, we get 42 - 1 = 41. Hence, the 6th term of the sequence is 41.
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The weight of each bag filled by Brandon, is .
Further explanation:
The amount of cashews and pistachios mixed are and respectively then the total weight of mixture is the sum of cashews and pistachios.
After the above nut mixture created by mixing cashews and pistachios is filled in six bags, the weight of remaining nuts is .
Therefore, the total mixture that is filled in 6 bags is obtained as the difference of total amount and the remaining mixture amount.
Now, this obtained amount of mixture weighing is filled equally in 6 bags as the size of bags is same then the amount of mixture in one bag or each bag is calculated as,
Thus, the weight of each of the six bags that Brandon fills, is .
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Mixtures and ratios
Keywords: cashews, pistachios, one bag, six bag, each bag, weight, Brandon, same size, mixture, nuts, 6.83lb, 3.57lb, 0.35lb, total mixture, amount of mixture, remaining amount, remaining weight, total weight, nut mixture.
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