If the sum of 13 numbers is 31 and the sum of 31 number is equal to 13. Find the sum of 44 number is equal to what this question comes from the class 10th chapter number arithmetic progression it is comes also in IPS question paper
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Let a be the 1st term of ap
let d be the difference between the two numbers of ap
then
Sn=a+n/2{2a-(n-1)d}
S13=a+13/2{2a-12d}=31
S31=a+31/2{2a-30d}=13
solving those two equations we get
d=405/6 & a=129/6
therefore u can try once S44
let d be the difference between the two numbers of ap
then
Sn=a+n/2{2a-(n-1)d}
S13=a+13/2{2a-12d}=31
S31=a+31/2{2a-30d}=13
solving those two equations we get
d=405/6 & a=129/6
therefore u can try once S44
shashank3840:
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