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-2+5+8________ +x = 155

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-2+5+8________ +x = 155

Posted by Savitoj Kaur 10 months, 3 weeks ago

CBSE > Class 10 > Mathematics

1 answers

Abhinav Raj Singh 10 months, 2 weeks ago

d is the common difference and a is the first term this series forms A.P. as it has common difference and a2-a1 = a3-a2=3 d =a2-a1 = 3 a =2 and given Sn = 155 also Sn =n/2 {2a+(n-1)d} => 155 = n/2{ 4 + (n-1)3} => 310= 4n +3n^2 - 3n => 3n^2 +n -310 =0 => 3n^2 -30n +31n -310 =0 =>3n(n-10)+31(n-10)=0 =>(3n+31)(n-10)=0 since number of terms (n) cant be negative so n=10

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