Question

Rule: start at 5 3/4, subtract 5/8 the first four terms of sequence are?

Answer 1

Answer:

$5\frac{3}{4}, 5\frac{1}{8}, 4\frac{1}{2}, 3\frac{7}{8}$

Step-by-step explanation:

First term:

$5\frac{3}{4} - \frac{5}{8}$

$= \frac{23}{4} - \frac{5}{8}$

$= \frac{46}{8} - \frac{5}{8}$

$= \frac{46 - 5}{8}$

$= \frac{41}{8}$

$= 5\frac{1}{8}$

Second term:

$5\frac{1}{8} - \frac{5}{8}$

$= \frac{41}{8} - \frac{5}{8}$

$= \frac{41 - 5}{8}$

$= \frac{36}{8}$

$= \frac{9}{2}$

$= 4\frac{1}{2}$

Third term:

$4\frac{1}{2} - \frac{5}{8}$

$= \frac{9}{2} - \frac{5}{8}$

$= \frac{36}{8} - \frac{5}{8}$

$= \frac{36 - 5}{8}$

$= \frac{31}{8}$

$= 3\frac{7}{8}$

∴ First four terms are $5\frac{3}{4}, 5\frac{1}{8}, 4\frac{1}{2}, 3\frac{7}{8}$

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