Find the 10th term of the geometric sequence whose common ratio is 1/2 and whose 1st term is 2.

Step-by-step explanation:

Geometric sequence means there is a common ratio. All that means is term divided previous term is the same across your sequence.

ONE WAY:

So we are given here that:

and that the first term which is is 2.

This implies after multiplying both sides by 2 and getting that .

So you have that

2,1,...

basically you can just multiply by 1/2 to keep generating more terms of the sequence.

Third term would be .

Fourth term would be .

...keep doing this til you get to the 10th term.

ANOTHER WAY:

Let's make a formula.

is the first term.

is the common ratio.

And we want to figure out what happens at .

Let's plug in our information we have

:

Put into calculator or do by hand...

Scratch work:

.

End scratch work.

The answer is that the tenth term is

For an nth term in a geometric sequence

where n is the number of terms

r is the common ratio

a is the first term

From the question

a = 2

r = 1/2

n = 10

So the 10th term of the sequence is

Hope this helps you

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b