Options

Solution:

Correct Answer:

99$\frac{11}{99}$ + 99$\frac{13}{99}$ + 99$\frac{15}{99}$ + ..... + 99$\frac{67}{99}$

a_n = a + (n - 1)d  and S_n = $\frac{n}{2}$(a+a_n)

67 = 11 + (n - 1)2

n = 1 + 28 = 29

(99 + 99 + 99 + ... 29 times) + ($\frac{11 + 13 + 15 + ...... + 67}{99}$)

99 (1 + 1 + 1 + .... 29 times) + $\frac{\frac{29}{2} \times (11 + 67)}{99}$

99 $\times$ 29   + $\frac{\frac{29}{2} \times 78}{99}$

2871 + $\frac{377}{33}$

$\frac{94743 + 377}{33}$

$\frac{95120}{33}$

 

99$\frac{11}{99}$ + 99$\frac{13}{99}$ + 99$\frac{15}{99}$ + ..... + 99$\frac{67}{99}$

a_n = a + (n - 1)d और  S_n = $\frac{n}{2}$(a+a_n)

67 = 11 + (n - 1)2

n = 1 + 28 = 29

(99 + 99 + 99 + ... 29 times) + ($\frac{11 + 13 + 15 + ...... + 67}{99}$)

99 (1 + 1 + 1 + .... 29 times) + $\frac{\frac{29}{2} \times (11 + 67)}{99}$

99 $\times$ 29   + $\frac{\frac{29}{2} \times 78}{99}$

2871 + $\frac{377}{33}$

$\frac{94743 + 377}{33}$

$\frac{95120}{33}$