an=e(-1/sqrt(n)) Apparently in converges and the limit is 1 but I'm not really sure how to do this type of problem with a limit of ex {n2e-n} Limit converges to 0? How?...

an=e(-1/sqrt(n)) Apparently in converges and the limit is 1 but I'm not really sure how to do this type of problem with a limit of ex {n2e-n} Limit converges to 0? How?...

24, 6 sided square blocks, lined up in sequence, each block having 6 different colors, the same on each block.

Given: a1=4, a2=−5 and ai=ai−2−3ai−1−3. Find the next four terms in the sequence. How would I go about solving this?

Juan is traveling to visit universities. He notices mile markers along the road. He records the mile markers every 10 minutes. His father is driving at a constant speed. (First time interval= 520...

the first, fourth and thirteenth terms of an arithmetic series are consecutive terms in a (non-constant) geometric series. The sixth term in the arithmetic series is 78. find the first term and the...

There was a need for one table at a catering company's first event. Two tables were needed for the second event, three tables the third event, and so on. One table seats 14 and two tables...

1a. Consider the following sequence of figures. Figure 1 contains 5 line segments. Figure 2 contains 9 and figure three contains 13. Given that figure n contains 801 line segments, show...

How many terms should we add to exceed 2335 when we add - 18 - 11 - 4 ...?

The first four terms of an artithmetic sequence are 2, a-b, 2a+b+7, and a-3b, where a and b are constants. Find a and b.

5a. The sides of a square are 16 cm in length. The midpoints of the sides of this square are joined to form a new square and four triangles. The process is repeated twice. Let Xn denote the length...

Consider the following sequence of figures. Figure 1 contains 5 line segments. Figure 2 contains 9 and figure three contains 13. Given that figure n contains 801 line segments, show that...

I need to do this without a graphing calculator... I got up until.. 45r7-2735r3+2735r2-45=0 What next steps do I need to do to get r?

Find $\frac{3}{2^2(1)(2)}$ + $\frac{4}{2^3(2)(3)}$ +....+ $\frac{r+2}{2^{r+1}(r)(r+1)} +.... up to infinity.

Any hints on how to prove this? What can we use a a proper subsequence, knowing that a proper subsequence is any subsequence except for the sequence it self.

Find the first five terms of the following sequence: an = 2an-1 + 3 a1 = 2

a1 = 5, an = -3an-1 - 1, n > 1

a1 = 5, an = 2an-1 + n, n > 1

next number in the sequence 2, 7, 26, 101, 400

The first row of a movie display has 4 movies. Each row after the first has two more movies than the row above it

an = ?