Can someone help me with these problems?

Question 1:

Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the sequence is convergent, guess the value of the limit from the graph and then prove your guess. (If an answer does not exist, enter DNE.) 3 + 502 an 20n- + 2n lim an 7 -+ 00Determine whether the geometric series is convergent or divergent. 10 - 4+ 1.6 - 0.64 + . . . O convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)Consider the following geometric series. 2 + 0.5 + 0.125 + 0.03125 + ... Find the common ratio. M =: Determine whether the geometric series is convergent or divergent. (3' convergent C- divergent If it is convergent, find its sum. [If the quantity diverges, enter DIVERGES.) S Determine whether the geometric series is convergent or divergent. C: 2 16(0.64}\" ' 1 n=1 C convergent O divergent If it is convergent, find its sum. [If the quantity diverges, enter DIVERGES.) E Determine whether the geometric series is convergent or divergent. 4\" 4 2? n=1 0 convergent O divergent If it is convergent, find its sum. [If the quantity diverges, enter DIVERGES.) S Consider the following geometric series. _ 9\" Find the common ratio. M =: Determine whether the geometric series is convergent or divergent. C- convergent C divergent If it is convergent, find its sum. [If the quantity diverges, enter DIVERGES.) E