Which term of A.P 3,8,13,18. Will be 55more than its 20th term
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Hi ,
3 , 8 , 13 , 18 , ... is an A. P
first term ( a ) = 3
common difference ( d ) = a2 - a1
d = 8 - 3
d = 5
20 th term in A.P = a20
a20 = a + 19d
= 3 + 19 × 5
= 3 + 95
= 98
55 more than a20 = 98 + 55 = 153
assume n th term of A.P = 153
a + ( n - 1 ) d = 153
3 + ( n - 1 ) 4 = 153
( n - 1 ) 4 = 153 - 3
( n - 1 ) = 150/4
n - 1 = 35
n = 35 + 1
n = 36
Required term is n = 36
I hope this helps you.
:)
3 , 8 , 13 , 18 , ... is an A. P
first term ( a ) = 3
common difference ( d ) = a2 - a1
d = 8 - 3
d = 5
20 th term in A.P = a20
a20 = a + 19d
= 3 + 19 × 5
= 3 + 95
= 98
55 more than a20 = 98 + 55 = 153
assume n th term of A.P = 153
a + ( n - 1 ) d = 153
3 + ( n - 1 ) 4 = 153
( n - 1 ) 4 = 153 - 3
( n - 1 ) = 150/4
n - 1 = 35
n = 35 + 1
n = 36
Required term is n = 36
I hope this helps you.
:)
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