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Wewaii [24]
3 years ago
12

1.33 equals .002 divided by 6A. Solve for A?

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0
Hey Tyler

1.33 = 0.002/6a
Cross multiply
1.33(6a) = 0.002
7.98a = 0.002
Divide both sides by 7.98
7.98a/7.98 = 0.002/7.98
a = 0.000251

I hope I helped!
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Answer:

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Step-by-step explanation:

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Determine formula of the nth term 2, 6, 12 20 30,42​
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Check the forward differences of the sequence.

If \{a_n\} = \{2,6,12,20,30,42,\ldots\}, then let \{b_n\} be the sequence of first-order differences of \{a_n\}. That is, for n ≥ 1,

b_n = a_{n+1} - a_n

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b_{n+1} = b_n + 2

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and so on down to

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a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))

a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))

and so on down to

a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2

\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}

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