Sequences

[mathmom]

I am trying to help my son with some homework, but we are stuck on a few problems. One is....

Refer to the sequences A=10, 7, 4, 1... and B= 12, 4, 4/3, 4/9.....

1. Give the sigma notation for the sum of the first eight terms of series A and evaluate.

2. Give the sum, Sn, of the first twenty five terms of series B.

3. Find the limit as n, the number of terms, approaches infinity for the sequence and series of B. If they converge, give the value, and if they diverge, state so.

 

[skeeter]

I am trying to help my son with some homework, but we are stuck on a few problems. One is....

Refer to the sequences A=10, 7, 4, 1... and B= 12, 4, 4/3, 4/9.....

1. Give the sigma notation for the sum of the first eight terms of series A and evaluate.

2. Give the sum, Sn, of the first twenty five terms of series B.

3. Find the limit as n, the number of terms, approaches infinity for the sequence and series of B. If they converge, give the value, and if they diverge, state so.

sequence A is arithmetic with common difference d = -3

sequence B is geometric with common ratio r = 1/3

surely he knows about both of these types of basic sequences and has access to formulae to determine their sums

what does he know about convergent and divergent sequences?

 

[stapel]

I am trying to help my son with some homework, but we are stuck on a few problems.

It is almost impossible to tutor through a "translator". Please have your son reply with his thoughts and efforts. Thank you!