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The sum of 3 terms of an ap is 24 and their product is 240 find the 3 terms of the AP

Posted by Sanjana P Jain 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Kajal Kumari 7 years, 3 months ago

^{let the terms of a.p.= a-d, a,a+d,}

^{now, according to question}

^a-d+a+a+d=24

^{3a =24}

^{a=24/3= 8}

^{again according to question}

^{(a-d)(a)(a+d)= 240}

^(a^{2 - d2)(a)= 240}

^{now putting the value of a}

^{(8^2 -d^2)×8 =240}

^{64-d^2=240/8= 30}

^{64-30 = d^2}

^{d = root34}

^{so the terms = 8-root34, 8, 8+ root34}

3Thank You

Sanjana P Jain 5 years, 8 months ago

I don't know

0Thank You

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