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azamat
3 years ago
8

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

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Let's see what to do...

_________________________________

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

_________________________________

Step (2)

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

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

_________________________________

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

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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