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The Number Of Terms In AP Is Even,The Sum Of Odd Terms Is 24,Of the even terms is 30. The Last Term Exceeds The First By 10.5 Find the number of terms

Pratik Tibrewal · Accepted Answer

let the A.P. be a, a+d, a+2d, and number of terms be 2n24 = n/2(2a + (n-1)2d)=> 24 = n(a+ (n-1)d)------(1)30 = n/2(2(a+d) + (n-1)2d)=> 30 = n(a+d+(n-1)d) ------(2)also given l - a = 10.5or a+(2n-1)d - a = 10.5=> (2n-1)d = 10.5 -----------(3)from (1): a + (n-1)d = 24/nput this value in (2)n(d+24/n) = 30----------(4)substitute the value of d from 3 in 4n(10.5/(2n-1) + 24/n) = 3010.5/(2n-1) + 24/n = 30/n=> 10.5/(2n-1) = 6/n=> 10.5n = 12n - 61.5n = 6n = 4Number of terms = 2n = 8Thanks and Regards,Pratik Tibrewalaskiitians facultyBTech

Algebra> ap...

The Number Of Terms In AP Is Even,The Sum Of Odd Terms Is 24,Of the even terms is 30. The Last Term Exceeds The First By 10.5 Find the number of terms

PRAKHAR GUPTA , 11 Years ago

Pratik Tibrewal

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Algebra> ap...

The Number Of Terms In AP Is Even,The Sum Of Odd Terms Is 24,Of the even terms is 30. The Last Term Exceeds The First By 10.5 Find the number of terms

PRAKHAR GUPTA , 11 Years ago

Pratik Tibrewal

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

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