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Slav-nsk [51]
3 years ago
7

An apartment complex offers 15 apartments with a view of the river, 8 with two bedrooms, and 6 that have both selections. How ma

ny only have a view of the river?
Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Answer:

9

Step-by-step explanation:

Otf the 15 that have a view of the river, 6 have both selections.

The remaining 9 only have a view of the river.

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Step-by-step explanation:

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Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15
Rasek [7]

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<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

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\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}

Now, we know that, an explicit formula is an expression for finding the nth term,  

So, in our problem, expression for finding nth term is a + (n – 1)d  

\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}

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Answer:

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Step-by-step explanation:

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