Math, asked by thushara31, 1 year ago

the sum of first 6th term of an A.P is 42 the ratio of its 11th term to its 33rd term is 1:3.Calculate its first term

Answers

Answered by 5U8H0J1T
4
let first term be a
& common difference be d
then 6th term will be a+(6-1)d=a+5d
then
a+5d=42........(1)
again 11th term will be=a+10d
& 33th term will be=a+32d
then
(a+10d)/(a+32d)=1/3
or 3a+30d=a+32d
or 2a=2d
or a=d.........(2)
putting the value of a in (1)
d+5d=42
or 6d=42
or d=7
then a=7..from (2).....(ans)
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