Lesson 6 · Sum of Geometric Series

Means of Arithmetic Sequence

MathematicsSubject
8 minEstimated read
1Identify whether each sequence is arithmetic or geometric: (a) 2, 4, 6, 8, ... (b) 1, 3, 5, 7, ... (c) 1, 4, 16, 64, ... (d) 24, 12, 6, 3, ... (e) 5, 11, 8, 14, ... (f) 2, 6, 18, 54, ...
2Find the common difference or the common ratio of each of those sequences.
3Find the general term of each of those sequences.
4Find the sixth and eighth terms of each of those sequences.
5Express each of those sequences as a series.
6If 3, m, 7 are in arithmetic sequence, how can the value of m be found?
7What are the values of x, y and z in the sequence 3, x, y, z, 19, ...?
8Find an arithmetic mean between 7 and 17.
9Find three arithmetic means between 3 and 23.
10Find seven arithmetic means between 3 and 43.
11Insert five arithmetic means between 2 and 26.
12Find the arithmetic mean between -6 and 14.
13The arithmetic mean of x and 20 is 14. Find x.
14Arithmetic means with common difference 5 are placed between 5 and 50. How many means are there?
15Why is 2 added in \( n = m + 2 \)?