The first term of a geometric sequence is 2 and the common ratio is -3 find the fifth term

With geometric sequences, all you have to do is multiply each term by -3 until you get to the needed term.

First term: 2

Second term: 2 * -3 = -6

Third term: -6 * -3 = 18

Fourth term: 18 * -3 = -54

Fifth term: -54 * -3 = 162

The fifth term of the sequence is 162.

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The result is

Step-by-step explanation:

Below are the steps to divide fractions:

The 1st fraction remains untouched.The division sign turns into a multiplication sign.Flip the 2nd fraction over (finding its reciprocal)Multiply the numerators (top numbers) togetherMultiply the denominators (bottom numbers) together.Simplify the resulting fraction by dividing both numerator and denominator by the same number.

Let's follow the above steps:

Steps 1, 2 and 3 can be done together.

As you can see, we leave 1st fraction alone, change division sign (:) by multiplication sign (.), and flip 2nd fraction over.

Now, we can do steps 4 and 5...

Finally, step 6, we cannot simplify the resulting fraction since both numerator and denominator have no common factors.

9 = 3 . 3

10 = 2 . 5