Find the common difference, if $a_{2} = 10$ and $a_{5} = 20$ .

3.33..........

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3.35..........

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3.65..........

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3.75..........

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Solution

The correct option is A $3.33..........$
The nth term of A.P. is $a_{n} = a_{1} + (n - 1) d$
$∴ a_{2} = a + (n - 1) d$
$10 = a + (2 - 1) d$
$10 = a + d$ ..... (1)
$a_{5} = a + (n - 1) d$
$20 = a + 4 d$ ..... (2)
Equating equation (1) & (2)
$10 = a + d$
$20 = a + 4 d$
(-) (-) (-)
-----------------
$- 10 = - 3 d$
$d = \frac{+ 10}{+ 3}$
$d = 3.33 . . . . . . . .$

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Similar questions

a

d

a_{2} + a_{5} - a_{3} = 10

a_{2} + a_{9} = 17

a_{2} - a_{5}

a_{1}, a_{2}, a_{3}, a_{4}, a_{5}

a_{1} + a_{3} + a_{5} = - 12

a_{1} a_{2} a_{3} = 8

a_{5} = 5 - 11 n

a_{2}, a_{3}, a_{4}

a_{5}

a_{1} = 10

r = - 1

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