Answer question Below and please provide all work so I can see how it is completed. Thank you

1. Find a1 and a2 of the sequences. a) an = en + 3 b) an = n+ ( n+ 1) +(n+2) + ... + (4n). 2. Determine the following sequences are convergent or divergent. If the sequence con- verges, find its limit. n2 a) an = - en + 3 b) an = 12 (1 - cos (7 ) ) = 1 - cos (m ) 3. Determine the following series are convergent or divergent. a) > n2n n=1 32n-1 b) 2n 5n+1 n=0 C) M n = 1 n - 2n 4. Find the interval of convergence for the following power series. a) (-1)" (x - 2)" n=1 Vn 3n 32n (x - 1)" b) n=0 n