2 , − 10 , 50 , . . . The first term of the sequence (a)=2 . The common ratio of the sequence (r)=−102=50−10=−5 ( r ) = − 10 2 = 50 − 10 = − 5 . So, the next term of the given geometric sequence is −250.
sorry this is the best i could do, hope it helps:)