Question

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

Answer 1

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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