Let \( a_{1},a_{2},\ldots,a_{10} \) be an AP with common difference \( -3 \) and \( b_{1},b_{2},\ldots,b_{10} \) be a GP with common ratio \( 2 \). Let \( c_{k}=a_{k}+b_{k},\, k=1,2,\ldots,10 \). If \( c_{2}=12 \) and \( c_{3}=13 \), then \( \displaystyle \sum_{k=1}^{10}c_{k} \) is equal to __________.
