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4 years ago

Which is greater,-2 4/9 or -2.25

Mathematics

1 answer:

seraphim [82]4 years ago

8 0

Answer: -2.25

Step-by-step explanation:

-2 4/9 or -2.25

Convert this to decimal

-2 4/9

4/9=0.4444

Add to the 2

-2.4444

-2.444 or -2.25

In negative rule,the lower the value,the greater the number

Therefore,

-2.25 is greater than -2.444

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You can try to show this by induction:

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and

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We want to then use this assumption to show the closed form is correct for n = k + 1, or

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From the given recurrence, we know

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$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

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Step-by-step explanation:

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