If sum of two sequences is convergent then the two sequences will be convergent or not?

.the uploading process takes too much time,

here my only purpose is that when we are doing such type of questions (if and then type), then always keep some standard examples in mind. you can also tell about limit of An = (a+...

this question is based on checking your knowledge about sequences. cgt=convergent for part C you try, if you not able then I do. but honestly you do that