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3 years ago

Which is a irrational number, √39, √9, √49, 1.7

Mathematics

1 answer:

stiv31 [10]3 years ago

7 0

Answer:

√39

Step-by-step explanation:

An irrational number is a number that cannot be expressed by a fraction.

√9 = 3

√49 = 7

All whole numbers can be expressed as fractions and are not irrational numbers.

1.7 = 17/10 which is not an irrational number.

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kompoz [17]

Answer:

Step-by-step explanation:

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2 years ago

10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

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3 years ago

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Anit [1.1K]

Answer:

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Step-by-step explanation:

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