find 31st term of AP whose 11th term is 38,16 th term is 73
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a11 :- 38
a16 :- 73
and a term can be written as
an = a + ( n - 1 )d
So,
a + 10d = 38 ( i )
a + 15d = 73 ...... ( ii )
[ for solution refer attachment ]
Putting the value in ( i )
a + 10d = 38
a + 10 × 7 = 38
a + 70 = 38
a = - 32
To find :- a31
a31 :- a + 30d
:- - 32 + 30 × 7
:- - 32 + 210
:- 120
a31 :- 120
a16 :- 73
and a term can be written as
an = a + ( n - 1 )d
So,
a + 10d = 38 ( i )
a + 15d = 73 ...... ( ii )
[ for solution refer attachment ]
Putting the value in ( i )
a + 10d = 38
a + 10 × 7 = 38
a + 70 = 38
a = - 32
To find :- a31
a31 :- a + 30d
:- - 32 + 30 × 7
:- - 32 + 210
:- 120
a31 :- 120
Attachments:
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