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3 years ago

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Mathematics

1 answer:

tester [92]3 years ago

3 0

Answer:

Step-by-step explanation:

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Find the seventh term of the sequence 40, 0.4, 0.004, ....

natima [27]

Answer:

Answer: Option d. 4× $10^{-11}$

Step-by-step explanation:

In any sequence where ratio of the terms is given we always use the formula

A(n) = A(1) $r^{n-1}$

Here A(n) is the term n

A(1) is the first term

n= number of trms

and r = ration of the terms

Here the given sequence is 40,0.4,0.004........

So A(1) = 40

Ratio 'r' of second and first term is =0.4/40=1/100

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Now we put the values in the formula

A(7) = $40(1/100)^{7-1}$

= $40(1/100)^{6}$

= $40/100^{6} =40/10^{12}$

= 40× $10^{-12}$

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3 years ago