FIND THE MISSING TERM IN ARITHMETIC AND GEOMETRIC SEQUENCE WORKSHEET

Find the next three terms of each sequences of each sequence. Next to the problem, describe the pattern in words.

Problem 1 :

4, -16, 64, -256, 1024,…

A) -1024, 4096, -16384          B) -4096, -16384, -65536

C) - 4096, 16384, -65536       D) -1024, -4096, -16384

Solution

Problem 2 :

1, 5, 25, 125, 625,…

A) 6250, 31250, 156250         B) 3125, 15625, 78125

C) 2/3125, 2/15625, 2/78125       D) 2/625, 2/3125, 2/15625

Solution

Problem 3 :

4, 16, 36, 64, 100,…

A) 144, 196, 281        B) 144, 196, 256

C) 164, 196, 307        D) 144, 196, 300

Solution

Problem 4 :

4, -12, 36, -108, 324,…

A) -972, -2916, -8748              B) -972, 2916, -8748

C) -4/243, 4/729, -4/2187       D) -4/243, -4/729, -4/2187

Solution

Problem 5 :

1, 9, 25, 49, 81,…

A) 121, 169, 225            B) 121, 193, 225

C) 140, 160, 225            D) 167, 160, 225

Solution

Problem 1 :

A GP has a common ratio of 0.65. Its sum to infinity is 120. What is the first term?

Solution

Problem 2 :

Another GP has 2.8 as its first term and its sum to infinity is 3.2. Find its common ratio.

Solution

Problem 3 :

Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128, 32 ,8, 2, 1/2.

Solution

Problem 4 :

A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.

Solution

Problem 5 :

We know the sum of the interior angles of a triangle is 180^º. Show that the sums of the interior angles of polygons with 3, 4, 5, 6, … sides form an arithmetic progression. Find the sum of the interior angles for a 21 sided polygon.

Solution