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Describe the pattern of the sequence, $\frac{2}{7},\frac{3}{7},\frac{4}{7},\frac{5}{7}...$27​,37​,47​,57​...​ .The pattern is .Question 2Find the next term.The next term is .Question 3Graph the first five terms of the sequence.

Question

Describe the pattern of the sequence, 27,37,47,57...\frac{2}{7},\frac{3}{7},\frac{4}{7},\frac{5}{7}...27​,37​,47​,57​...​ .The pattern is .Question 2Find the next term.The next term is .Question 3Graph the first five terms of the sequence.

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Solution

Question 1: Describe the pattern of the sequence, 27,37,47,57...\frac{2}{7},\frac{3}{7},\frac{4}{7},\frac{5}{7}...

The pattern of the sequence is that each term is increasing by 17\frac{1}{7} from the previous term.

Question 2: Find the next term.

The next term in the sequence would be 67\frac{6}{7}, as it follows the pattern of increasing by 17\frac{1}{7} from the previous term.

Question 3: Graph the first five terms of the sequence.

To graph the first five terms of the sequence, you would plot the points (1, 27\frac{2}{7}), (2, 37\frac{3}{7}), (3, 47\frac{4}{7}), (4, 57\frac{5}{7}), and (5, 67\frac{6}{7}) on a graph. The x-axis would represent the term number and the y-axis would represent the value of the term. The points would form a straight line, indicating a linear sequence.

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