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Let a1, a2, ... , a(10) be an AP with co...

Let `a_1, a_2, ... , a_(10)` be an AP with common difference - 3 and `b_1, b_2`, ... , `b_(10)` be a GP with 10 common ratio 2. Let `c_k= a_k + b_k, k = 1, 2, ... , 10`. If `c_2 = 12` and `c_3= 13`, then `sum_(k=1)^(10)` ck is equal to _____

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