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prisoha [69]
3 years ago
12

I need help finding the first five terms of the following explicit formula and the sequence

Mathematics
1 answer:
Katarina [22]3 years ago
8 0

Answer:

Step-by-step explanation:

Explicit formula of the sequence,

A_n=59+11n

A_1=59+11(1)

A_1=70

A_2=59+11(2)

A_2=81

A_3=59+11(3)

A_3=92

A_4=59+11(4)

A_4=103

A_5=59+11(5)

A_5=114

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<h2>Solution (a) :-</h2>

Quantity of flour needed to make 20 pancakes =

= 1 \frac{2}{3}  \:

=  \frac{3  \times 1 + 2}{3}

=  \frac{5}{3}  \: cups \: of \: flour

Then , number of pancakes that can be made from 1 cup of floor :-

20 \div  \frac{5}{3}

20 \times  \frac{3}{5}

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Therefore , 12 pancakes can be made from 1 cup of floor .

<h2>Solution (b) :-</h2>

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

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Therefore , I can make 108 pancakes with 9 cups of flour .

<h2>Solution (c) :-</h2>

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

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