Question

Find 50th term of an arithematic sequence 15,30,45....................etc

Answer 1

In the above Question , we have to find the 50th term of the given arithmetic sequence -

15, 30, 45, .........

Here ,seeing the given sequence , we can get the following information -

The initial term, a = 15

Common difference , d = 15

Now , we know that -

The nth term of an ap can be written as -

a_n = a + ( n - 1 ) d

=> a_50 -

=> a + 49d

=> 15 + 49 × 15

=> 50 × 15

=> 750

Thus , the 50th term of the given AP is 750 .

This is the required answer .......

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Answer 2

$\huge\sf\pink{Answer}$

☞ 50th term of the AP is 750

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$\huge\sf\blue{Given}$

✭ AP - 15,30,45.........

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$\huge\sf\gray{To \:Find}$

◈ Its 50th term?

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$\huge\sf\purple{Steps}$

Here in the AP we observe that,

◕ $\sf a = 15$

◕ $\sf d = a_2 - a_1 = 30-15 = 15$

So we know that,

$\underline{\boxed{\sf a_n = a+(n-1)d}}$

Substituting the given values,

➝ $\sf a_{50} = 15+(50-1)15$

➝ $\sf a_{50} = 15+(49)(15)$

➝ $\sf a_{50} = 15+735$

➝ $\sf\orange{a_{50} =750}$

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