$\frac{1 + 2 + 3 + . . . . . . . . + 35 t e r m s}{3 + 6 + 9 + . . . . . . . . + 11 t e r m s} =$ a. The value of a is____.

\frac{11}{32}

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\frac{25}{11}

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\frac{35}{11}

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\frac{15}{11}

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Solution

The correct option is C $\frac{35}{11}$
Sum of first n terms = $\frac{n (n + 1)}{2}$
So 35 x 36
2
3 x 11 x 12
2
= 35 x 36
3 x 11 x 12
= $\frac{35}{11}$

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