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Anni [7]
3 years ago
13

Find the eighth term of the

Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio, hence

a_{8} = 6 × (-1/3)^{7} = 6 × - \frac{1}{3^{7} } = 6 × - \frac{1}{2187} = - \frac{2}{729}

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Which of the following represents the additive inverse of 125? A. -(-125) B. 125 C. -125 D. 1/25
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Additive inverse of 125 is – 125, option C is correct.

<u>Solution:</u>

Given that , a number is 125

We have to find the additive inverse for the above given number from the above given set of options.

Now, we know that, <em>sum of a number and its additive inverse equals to 0. </em>

So, let us check option by option.

<em><u>Option A:</u></em>

Given number is -(-125)

-(-125) ⇒ 125 + ( - ( - 125 ) )  

⇒ 125 + 125  

⇒ 250 ⇒ wrong option

<em><u>Option B:</u></em>

Given number is 125

⇒ 125 + 125 ⇒ 250 ⇒ wrong option

<em><u>Option C:</u></em>

Given number is -125

125 + ( - 125 ) ⇒ 125 – 125  ⇒ 0 ⇒ correct option

Hence, additive inverse of 125 is – 125, option C is correct

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