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sladkih [1.3K]
2 years ago
9

The 100th term in 8, 13, 18,23, 28,...

Mathematics
1 answer:
Lunna [17]2 years ago
3 0

Answer:

The 100th term of the sequence is 503.

Step-by-step explanation:

Given : Sequence 8, 13, 18,23, 28,...

To find : The 100th term in the sequence ?

Solution :

Sequence 8, 13, 18,23, 28,... is the arithmetic sequence

Where, First term is a=8

The common difference is d=13-8=5

The nth term of the sequence is given by a_n=a+(n-1)d

The 100th term is given by,

a_{100}=8+(100-1)5

a_{100}=8+(99)5

a_{100}=8+495

a_{100}=503

The 100th term of the sequence is 503.

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How much should you invest at 5% simple interest in order to earn $100 interest in 12 months?​
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Answer:

You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.

Step-by-step explanation:

Using the formula

I = Prt

where

I = Interest earned

P = The principal (let say in $)

r = The Interest Rate

t = time

Given that

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  • t = 12 month = 1 year
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Thus,

I = Prt

100 = P × 5% × 1

100 = P × 5/100 × 1

100 × 100 = P × 5

10000 = P × 5

P = 10000/5

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Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.

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Here's the equation:
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