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Oduvanchick [21]

2 years ago

12

QUESTION 3: POCKET MONEY Mr Reyan made an agreement with his son Smith who is studying in grade 12 as follows. Smith will get po

cket money after he finishes all his homework every day. The amount of pocket money will be double the amount previous day. He will start first day with R1. He can use this saving for his matric dance.
3.1 Write the information as a sequence.what is the sequence of this information?

1 answer:

const2013 [10]2 years ago

8 0

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

The sequence of the information is a geometric sequence

<h3>How is the given information expressed as a sequence?</h3>

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2

Learn more about geometric sequence here:

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brainly.com/question/1532378

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