## Question

###### 30. Find the sum of 1 + 3 + 5 + ... + 59.

30. Find the sum of 1 + 3 + 5 + ... + 59.

## Answers

Solution! Given that 1+3+5 + 7+. ..+-59. clim! To find the sum the series or Sn = 2 How tinct the ralue The sum the guithmetic sequence is aitan n=nth Number team term an のtoterny Now find the ralue Number of term formula alia yst By using 92 = atin-)d a first team ananth term de common olitterence the common difference of giren arithmehe sequence 2 an=59 04E1cn = , + (0-1) d. 54 alt (n-1) 2 58 : 20-2 20 - 58.42 2n - 6o 30 Now sum of sequerice is So Encant, as 30 (1159) = 30 ( 56 S30 30 = 30 (30) S30 - goo The 11+3+5+ Sum of series +59 = 900

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