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Question of ch5 , Q If 8n=4n-n2 find an

Posted by Shubhangi Mozarkar 5 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

We have given that
Sum of the first n terms = 4n – n²
⇒ S_n = 4n – n²

S_{n –1} = 4(n – 1) – (n – 1)²
= (4n – 4) – (n² + 1 – 2n)
= 4n – 4 – n² – 1 + 2n
= 6n – n² – 5
∴ nth term = S_n – S_{n – 1}
= (4n – n²) – (6n – n² – 5)
= 4n – n² – 6n + n² + 5
= 5 –2n.

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CBSE > Class 10 > Mathematics