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2 years ago

Round 2 5/6 to the nearest half

Mathematics

2 answers:

Mekhanik [1.2K]2 years ago

7 0

(2 5/6):2 = (2 5/6) * 1/2 = (12/6 + 5/6)*1/2 = 17/6*1/2 = 17/12 = 1 5/12

umka21 [38]2 years ago

6 0

To round 2 5/6 to the nearest half, think about it like this:
Is 2 5/6 closer to 2 1/2, or 3?

2 3/6 is equal to 2 1/2.

Because 2 5/6 is closer to 3 then to 2 3/6, you would round 2 5/6 to 3.

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Write a rule for the nth term of the sequence.

Helga [31]

Answer:

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

Step-by-step explanation:

Given sequence is:

-11, 5, 21, 37, 53, ...

Here

$a_1 = -11\\a_2 = 5\\a_3 = 21\\a_4 = 37$

First of all, we have to find if this is an arithmetic sequence

For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence

So,

$d = a_2 -a_1 = 5-(-11) = 5+11 = 16\\d = a_3 -a_2 = 21-5 = 16\\d = a_4-a_3 = 37-21 = 16$

As the common difference is same, the sequence is an arithmetic sequence

General rule for arithmetic sequence is:

$a_n = a_1+(n-1)d$

Putting values

$a_n = -11+(n-1)(16)\\a_n = -11+16n-16\\a_n = -27+16n$

For 100th term,

Putting n=100

$a_{100} = -27+16(100)\\a_{100} = -27+1600 = 1573$

Hence,

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

6 0

2 years ago

Please help thank you.

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3 years ago

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Whitepunk [10]

3:1 is your answer bruuuuuuhhhh

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2 years ago

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kolezko [41]

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