Sequences

Practice Questions

GRE Subject Test: Math › Sequences

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1

Find the radius of convergence for the power series

$\small \sum_{n=0}^{\infty}\frac{(n!)^2x^n}{(2n)!}$

2

Evaluate: $\large \large \sum_{x=1}^{10} \frac {1}{n}$ . (Round to 4 places)

3

Find the radius of convergence for the power series

$\small \sum_{n=0}^{\infty}\frac{(n!)^2x^n}{(2n)!}$

4

Evaluate: $\large \large \sum_{x=1}^{10} \frac {1}{n}$ . (Round to 4 places)

5

If the first term of an arithmetic sequence is 2 and the third term is 8, find the $\large \large 16$ th term.

6

If a sequence is 9, 3, -3, -9, -15, ...

What is the 10th term of the sequence?

7

Find the next term in the sequence:

8

If the first terms of a sequence are ,find the th term.

9

The first three terms of a arithmetic sequence are . What is the term of this sequence?

10

If the first term of an arithmetic sequence is 2 and the third term is 8, find the $\large \large 16$ th term.

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