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olchik [2.2K]
3 years ago
7

Describe the rule of continuing this sequence 44, 41, 38, 35, 32

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0

Answer:

aₙ= 47 -3n

Step-by-step explanation:

44, 41, 38, 35, 32

This is AP with 1st term of 44 and common difference of -3

nth term of this AP:

  • aₙ= a₁+(n-1)d= 44+(n-1)*(-3)= 44 - 3n+3= 47-3n
  • aₙ= 47 -3n
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Answer:

4 batches: 2\frac{2}{3} cups

7 batches: 4\frac{2}{3} cups

Step-by-step explanation:

If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.

\frac{2}{3} × \frac{4}{1}

= \frac{8}{3}  = 2\frac{2}{3}

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to 2\frac{2}{3}.

\frac{2}{3} × \frac{3}{1}

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Thus, 2\frac{2}{3} and 4\frac{2}{3} are the answers.

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2 years ago
Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con
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