Select the first correct reason in the order listed below why the given series converges. be sure to think about how you might simplify each general term before you decide on your answer! a. convergent geometric series b. convergent p series c. comparison (or limit comparison) with a geometric or p series d. alternating series test e. none of the above c 1. ∑n=1[infinity](n+1)(8)n32n c 2. ∑n=1[infinity]n2+n‾√n4−9 a 3. ∑n=1[infinity]2(5)n92n d 4. ∑n=1[infinity](−1)n2n+7 e 5. ∑n=1[infinity](−1)nn‾√n+9 d 6. ∑n=1[infinity](−1)nln(en)n5cos(nπ)