Question

Find the sum of :::::

(- 5) + (- 8) + ( - 11 ) +....+( - - 230 )
​

Answer 1

Answer:

$\huge \ \fcolorbox{aqua}{aqua}{hi}$

Step-by-step explanation:

$\ \fcolorbox{aqua}{aqua}{your \: answer \: is : }$

${ \blue{as \: you \: can \: see \: it \: is \: an \: a.p.}}$

${ \blue{a = - 5 \: \: d = - 3 \: \: an = - 230}}$

${ \red{an = a + (n - 1)d}}$

${ \blue{ - 230 = - 5 + (n - 1) - 3}}$

${ \blue{ - 225 = (n - 1)3}}$

${ \blue{n - 1 = 75}}$

${ \blue{n = 76}}$

${ \red{sn = \frac{n}{2}(a + l)}}$

${ \blue{s76 = \frac{76}{2} ( - 5 + - 230)}}$

${\blue{s76 = 38( - 235)}}$

${\orange{=11930}}$

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