Question

sum of odd numbers between 0,50​

Answer 1

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sum of odd numbers between 0,50.

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$let \: the \: ap \: be$

$1,3,5,7,............49$

$a = 1 \\ d = 2 \\ {a}^{n} = 49$

$formula = \\ {a}^{n} = a + (n - 1)d$

$substitute \: the \: values$

$49 = 1 + (n - 1)2$

$49 = 1 + 2n - 2$

$49 = 2n - 1$

$49 + 1 = 2n$

$2n = 50$

$n = \frac{50}{2}$

${\boxed{\boxed {n = 25}}}$

$formula \: = \\ sn = \frac{n}{2} (a + {a}^{n} )$

$substitute \: the \: values$

$sn= \frac{25}{2} (1 + 49)$

$sn = \frac{25}{2} (50)$

$by \: simplyfyng$

$sn = 25 \times 25$

${\boxed {\boxed {sn = 625}}}$

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