which term of the A.P: 2,4,6 ... will be 20
more than it's 12th term
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The 18th term of this A.P would be 20 more than it's 12th term.
Step-by-step explanation:
Given:
A.P = 2,4,6,...
a = 2
d = 4-2 = 2
__________________
As per the question ,
an = a12+20_______(1)
a12 = a+ (12-1)d [an= a+(n-1)d]
a12 = (2) + 11(2)
= 2 + 22
= 24
an=(24)+12 [Substituting the value of a12 in (1) ]
= 36
an = a+(n-1)d = 36
(2)+(n-1)(2)=36
2+2n-2=36
2-2+2n=36
2n=36
n=36/2
n=18
Hope this helps you!
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