A) The term-to-term rule of a sequence is

Mathematics

1 answer:

V125BC [204]2 years ago

7 0

Answer:

a) 5, 11, 23, 47

b) 2, 7, 17

Step-by-step explanation:

a) 5*2+1=11

11*2+1=23

23*2+1=47

b) 17-3 /2 = 7

7-3 /2 = 2

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Serenity has 2\frac{1}{2} 2 1 cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 cup of dough for each dumpling, h

BARSIC [14]

3 dumplings can be made by Serenity

<em><u>Solution:</u></em>

Given that,

Serenity has $2\frac{1}{2}$ cups of dough to make dumplings

She uses $\frac{3}{4}$ cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

$\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}$

$\text{Cups of dough for 1 dumpling } = \frac{3}{4}$

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

$\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3$