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3 years ago

16, 4,1,... Find the 6th term

Mathematics

1 answer:

Vlada [557]3 years ago

3 0

Let's see what to do...

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Step (1)

Look : 16 , 10 , 4 , ...

It is an arithmetic sequence.

So first we have to find the value of the ratio(( d )) .

To do this, we need to subtract each sentence minus the previous sentence.

So we have : 10 - 16 = - 6

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Step (2)

To find the nth sentence in an arithmetic sequence, we must use the following equation :

$t(n) = t(1) + (n - 1)d$

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Step (3)

To find the 6th term just need to put the following parameters in the above sequence.

t(1) = 16 ------ n = 6 ------ d = -6

$t(6) = 16 + (6 - 1)( - 6)$

$t(6) = 16 + (5)( - 6)$

$t(6) = 16 + ( - 30)$

$t(6) = 16 - 30$

$t(6) = - 14$

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And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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<h3>Answer: choice F) 12 & 1/2 square yards.</h3>

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We'll use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

Let's convert the first mixed number to an improper fraction

a & b/c = (a*c + b)/c

3 & 3/4 = (3*4 + 3)/4

3 & 3/4 = 15/4

Repeat the same idea for the second mixed number as well

a & b/c = (a*c + b)/c

3 & 1/3 = (3*3 + 1)/3

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--------------------

In short we have

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Doing these conversions is useful to be able to multiply the values like so:

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Now use your calculator to find that 25/2 = 12.5

We can then say....

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