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Find Sn if an=3+2n

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Find Sn if an=3+2n

Posted by Akash Tripathi 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Given, a_n = 3 + 2n
a₁= 3 + 2{tex}\times{/tex}1 = 5
a₂ = 3 + 2{tex}\times{/tex}2 = 7
a₃ = 3 + 2{tex}\times{/tex}3 = 9
Thus the series is 5, 7, 9,......in which a = 5 and d = 7 - 5 = 2
{tex}\therefore \quad S _ { n } = \frac { n } { 2 } ( 2 a + ( n - 1 ) d ){/tex}
S_n = {tex}\frac n2{/tex}[2(5) + (n - 1)2]
S_n = {tex}\frac n2{/tex}[10 + 2n - 2]
S_n = {tex}\frac n2{/tex}[8 + 2n]
S_n = 4n + n²

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Posted by Kanika . 4 weeks, 1 day ago

CBSE > Class 10 > Mathematics

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(A + B )²

Posted by Abhishek Gupta 1 month, 2 weeks ago

CBSE > Class 10 > Mathematics

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Posted by Hari Anand 6 months ago

CBSE > Class 10 > Mathematics