Answer:
Explanation:
B) a) 2, 5 , 8 , 11 ......
First term = 2
Second term = 5
Find the common difference.
Common difference = second term - first term
=5 - 2
= 3
Each term is obtained by adding 3 to the previous term.
11 + 3 = 14
14 + 3 = 17
17 +3 = 20
The next three terms are: 14 , 17 , 20
3) 1,4,16,64.....
This is a geometric sequence. Find the common ratio.
Common ratio = second term ÷ first term
= 4 ÷ 1
= 4
Each term is obtained by multiplying previous term by 4.
64 *4 = 256
256 *4 = 1024
1024 * 4 = 4096
The next three terms are: 256, 1024 , 4096.
4) 60, 48 , 36 , 24, .....
This is an arithmetic sequence.Find the common difference.
Common difference = 48 - 60
= -12
Each term is obtained by subtracting 12 ( adding -12) with the previous term.
24 - 12 = 12
12 - 12 = 0
0 - 12 = -12
The next three terms are: 12 , 0 , -12.
5) 1 , 4 , 9, 16,25 ,....
1, 2², 3², 4², 5².....
6² = 6*6 = 36
7² = 7*7 = 49
8² =8 * 8 = 64
The next three terms are: 36, 49 , 64.