# 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

1) -4096, 16384, -65536.

2) 3125, 15625, 78125.

3) 144, 196, 256.

4) -972, 2916, -8748.

5) 121, 169, 225.

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 :

an = 8 +13n

Solution

Problem 2 :

an = (1/n) +1

Solution

Problem 3 :

an = 2n + n

Solution

1) 21, 34, 47, 60, 73 and d = 13.

2) 2, 3/2, 4/3, 5/4, 6/5 and d = -1/2

3) 3, 6, 11, 20, 37 and it is not arithmetic

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

Problem 1 :

an = n2 + 3

Solution

Problem 2 :

an = 15/(n + 3)

Solution

Problem 3 :

an = 2n - 1

Solution

Problem 4 :

an = n/(n +1)

Solution

Problem 5 :

an = 12 - 3n

Solution

Problem 6 :

an = 4n/3

Solution

1)  4, 7, 12, 17

2)  15/4, 3, 5/2, 15/7

3) 1, 3, 5, 7

4) 1/2, 2/3, 3/4, 4/5

5)  9, 6, 3, 0

6)  4/3, 8/3, 4, 16/3

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