Bestem om rekken konvergerer. Bestem an. Hvilken type rekke er dette? Hva er summen av rekken (ikke uttrykt med summetegn)? 2 2 2+² +3 + 2+=+ 5 25 125 + = Σa n=0 an

Q: Write the indicated series in sigma notation and compute the sum's

A: Given:  The series is  3+7+11+15+⋯+55Here a=3 (first…

Q: 25 16 + 125 64 + 4 S = +i+1+5+ 25 16

A: S=2516+54+1+45+1625+64125+...

Q: Determine the follewing series converge. State the test you are udeing. An3-1

A:

Q: Prove divergence or convergence. Also, find the sum of the series if possible.

A: We first expand the sum The first series is geometric series with a common ratio 1/3 <1 so it…

Q: Find the sum of the infinite series. 1 + 18 · 29 1 1 + 29 · 40 1 +... 40 · 51 + 7. 18

A: We can solve as follow.

Q: Find the sum of the convergent series. 3 2 + 27 +. .. 32 8

A: using sum of infinity series of geometric progression

Q: 4k Sk = an ' 2k +1

A: Given Sk=∑n=1kan=4k2k+1 Determine the first five terms o  the series ∑n=1∞an

Q: Determine whether the following series is convergent or divergent. 1 1+ 1 t.. 22 33 44 O The series…

A:

Q: Evaluate the series or state that it diverges.

A: Given: S=∑k=1∞1356k+3579k for evaluating given summation, first we expand given summation so,…