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aev [14]
3 years ago
12

Find the next three terms of the arithmetic sequence.

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

c

Step-by-step explanation:

There is a common difference d between consecutive terms of an arithmetic sequence, that is

d = 13 - 10 = 16 - 13 = 19 - 16 = 3

To obtain the next term add the common difference 3 to the previous term.

a₅ = a₄ + 3 = 19 + 3 = 22

a₆ = a₅ + 3 = 22 + 3 = 25

a₇ = a₆ + 3 = 25 + 3 = 28

The next 3 terms are 22, 25, 28 → c

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Answer: 2x^2-7x=72 , where  x= width of the rectangle ( in inches).

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