Find which the term of the A.P. 20, 30, 40.... is 100.

11

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12

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13

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9

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Solution

The correct option is C $9$
Let the general form of A.P., $a_{n} = a + (n - 1) d$
Common difference, $d = 10$
$a_{n} = 100$
$a_{n} = a + (n - 1) d$
$100 = 20 + (n - 1) \times 10$
$100 - 20 = 10 n - 10$
$80 + 10 = 10 n$
$90 = 10 n$
$n = 9$

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Find which the term of the A.P. 20, 30, 40.... is 100.

The correct option is C 9Let the general form of A.P., an=a+(n−1)dCommon difference, d=10an=100an=a+(n−1)d100=20+(n−1)×10100−20=10n−1080+10=10n90=10nn=9

The correct option is C $9$
Let the general form of A.P., $a_{n} = a + (n - 1) d$
Common difference, $d = 10$
$a_{n} = 100$
$a_{n} = a + (n - 1) d$
$100 = 20 + (n - 1) \times 10$
$100 - 20 = 10 n - 10$
$80 + 10 = 10 n$
$90 = 10 n$
$n = 9$