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3 years ago

14

Angela invested $4000 in an account that earns 5% interest yearly (simple interest). She forgets about it for 12 years. What is

the TOTAL amount of money in the account after those 12 years?

1 answer:

harina [27]3 years ago

4 0

Answer:

$6400

Step-by-step explanation:

4000x.05=200× 12=2400+4000=$6400

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

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>Here in the given sequence</u></em>

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

<em><u>Let us find the difference between terms</u></em>

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

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$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

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