Which of the term of the A.P. 11, 22, 33, 44.... is 550?

20

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30

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40

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50

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Solution

The correct option is D $50$
Let the general form of A.P., $a_{n} = a + (n - 1) d$
Common difference $d = 11$
and $a_{n} = 550$
So,
$a_{n} = a + (n - 1) d$
$550 = 11 + (n - 1) \times 11$
$550 - 11 = 11 n - 11$
$539 + 11 = 11 n$
$550 = 11 n$
$n = 50$

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30

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