Question

Please solve the problem quickly
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Answer 1

a ( first term ):- 8

d ( Common difference ) :-

an :- 33

Sn :- 123

an = a + ( n - 1 )d

33 = 8 + ( n - 1 )d ... ( i )


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

$123 = \frac{n}{2} (8 + 33)$

246 = n ( 41 )

$\frac{246}{41} = n$

6 = n

Putting the value of n in ( i )

33 = 8 + ( n - 1 )d

25 = 5d

5 = d

So,

n = 6

and common difference is 5