Sequences and Relations

What is the 5th term of the arithmetic sequence 3, 7, 11, 15, ...?

If the sequence is defined by a_n = 2n + 1, what is the 8th term?

Which of the following sequences is geometric?

Find the sum of the first 10 terms of the arithmetic progression 5, 8, 11, ...

In the relation R on set A = {1, 2, 3} defined by R = {(1,1), (2,2), (3,3), (1,2), (2,3)}, which property is NOT satisfied?

Find the 7th term of the geometric sequence with first term 3 and common ratio 2.

If the sum of the first n natural numbers is 210, find n.

A sequence is defined recursively by a_1 = 2, a_{n+1} = 3a_n + 1. What is a_3?

Consider the relation R on integers defined by xRy if x - y is divisible by 5. Which property does R satisfy?

The 4th term of a sequence is 16 and the 7th term is 64. If the sequence is geometric, find the first term.