Q. If the sum of first 10 terms and the sum of first 100 terms of an ap are 100 and 10 respectively then find the sum of first 110 terms
Answers
Answer:
Leta
Leta 1
=
= 2
= 2n
= 2n
= 2n [2a
= 2n [2a 100
= 2n [2a 100
= 2n [2a 100 [2a+99d]
= 2n [2a 100 [2a+99d]=50[2a+99d]=−1−−−−(1)
= 2n [2a 100 [2a+99d]=50[2a+99d]=−1−−−−(1)eveventerms
50
50
50 [2(a+d)+49×2d]=1
50 [2(a+d)+49×2d]=125(2a+2d+98d)=1
50 [2(a+d)+49×2d]=125(2a+2d+98d)=125(2a+100d)=1−−−−(2)
50 [2(a+d)+49×2d]=125(2a+2d+98d)=125(2a+100d)=1−−−−(2)Fromequation(1)and(2)weget
50 [2(a+d)+49×2d]=125(2a+2d+98d)=125(2a+100d)=1−−−−(2)Fromequation(1)and(2)wegets=
50 [2(a+d)+49×2d]=125(2a+2d+98d)=125(2a+100d)=1−−−−(2)Fromequation(1)and(2)wegets= 50
50 [2(a+d)+49×2d]=125(2a+2d+98d)=125(2a+100d)=1−−−−(2)Fromequation(1)and(2)wegets= 503
50 [2(a+d)+49×2d]=125(2a+2d+98d)=125(2a+100d)=1−−−−(2)Fromequation(1)and(2)wegets= 503
50 [2(a+d)+49×2d]=125(2a+2d+98d)=125(2a+100d)=1−−−−(2)Fromequation(1)and(2)wegets= 503