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Question

20 A.Ms are inserted between 2 and 86. Find the 19th A.M.


A

78

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B

84

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C

82

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D

80

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Solution

The correct option is A

78


When we add 20 A.Ms between 2 and 86, the resultant A.P would look like
2,A1,A2,........A19,A20,86

There are 22 numbers in this A.P including 2 and 86.
First term of this A.P is 2 and the last term is 86. A1 is the second term and 86 is the 22nd term.
t1=2
t22=86
To find the common difference,
2+(221)d=86
d=4
A19 is the 20th term of the A.P.
A19=t20
t20=2+(201)4
=2+19×4
=78


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