Solve this


If $\frac{3+5+7+9+\ldots \text { up to } 35 \text { terms }}{5+8+11+\ldots . \text { up ton terms }}=7$ find the value of n. 



To find: the value of n.

We can write it as


$3 n^{2}+7 \times n-370=0$

Therefore $n=37 / 3,10$

Rejecting $37 / 3$ we get $n=10$


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