The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. what is the 20th term?
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after calculating u will get first term=5 and common difference=3
so, the 20th term is 62
so, the 20th term is 62
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Hi !
a₂ = 8
i.e. a + d = 8 ---> (1)
a₆ = 20
i.e. a + 5d = 20 ---> (2)
(2) - (1)
a + 5d = 20
a + d = 8
-------------
4d = 12
d = 3
a + 3 = 8
a = 5
Common difference = d = 3
First term = a = 5
---------------------------------------------
20th term = a + 19d
5 + 19*3 = 62
20th term = 62
a₂ = 8
i.e. a + d = 8 ---> (1)
a₆ = 20
i.e. a + 5d = 20 ---> (2)
(2) - (1)
a + 5d = 20
a + d = 8
-------------
4d = 12
d = 3
a + 3 = 8
a = 5
Common difference = d = 3
First term = a = 5
---------------------------------------------
20th term = a + 19d
5 + 19*3 = 62
20th term = 62
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