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Gnoma [55]
3 years ago
15

459,450,441, find the 37th term

Mathematics
2 answers:
Tanzania [10]3 years ago
7 0

Step-by-step explanation:

first term = a = <em>4</em><em>5</em><em>9</em>

common difference = d = 450 - 459 = <em>-</em><em>9</em>

<em>nth </em><em>term </em><em>=</em><em> </em><em>an</em>

<em>n </em><em>=</em><em> </em><em>-</em><em>9</em>

<em>an </em><em>=</em><em> </em><em>a </em><em>+</em><em> </em><em>(</em><em>n-1)</em><em>d</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>4</em><em>5</em><em>9</em><em> </em><em>+</em><em>(</em><em>3</em><em>7</em><em>-</em><em>1</em><em>)</em><em>-</em><em>9</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>4</em><em>5</em><em>9</em><em> </em><em>+</em><em> </em><em>(</em><em>3</em><em>6</em><em>)</em><em>-</em><em>9</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em> </em><em>4</em><em>5</em><em>9</em><em> </em><em>-</em><em>3</em><em>2</em><em>4</em>

= <em><u>1</u></em><em><u>3</u></em><em><u>5</u></em>

37 th term = 135

<em><u>plz </u></em><em><u>mark</u></em><em><u> my</u></em><em><u> answer</u></em><em><u> as</u></em><em><u> brainlist</u></em><em><u> if</u></em><em><u> you</u></em><em><u> find</u></em><em><u> it</u></em><em><u> useful</u></em><em><u> for</u></em><em><u> you</u></em><em><u>.</u></em><em><u> </u></em><em><u>hope</u></em><em><u> this</u></em><em><u> will</u></em><em><u> be</u></em><em><u> helpful</u></em><em><u> to</u></em><em><u> you</u></em><em><u> </u></em><em><u>.</u></em>

Maurinko [17]3 years ago
5 0

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

<u><em>135.</em></u>

Hope this helps!

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