FIND THE NEXT TERMS OF THE SEQUENCE

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

Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference.

Problem 1 :

a_n = 8 +13n

Solution

Problem 2 :

a_n = (1/n) +1

Solution

Problem 3 :

a_n = 2ⁿ + n

Solution

Find the first four terms of the sequence given the explicit formula.

Problem 1 :

a_n = n² + 3

Solution

Problem 2 :

a_n = 15/(n + 3)

Solution

Problem 3 :

a_n = 2n - 1

Solution

Problem 4 :

a_n = n/(n +1)

Solution

Problem 5 :

a_n = 12 - 3n

Solution

Problem 6 :

a_n = 4n/3

Solution