Question

Sequences and Summations: What are the first 4 terms of the following sequences:

a) 1, 3, 5, 7
b) 1, 4, 9, 16
c) 2, 4, 8, 16
d) 3, 6, 12, 24

Answer 1

The first 4 terms of the given sequences are as follows: a) 1, 3, 5, 7 b) 1, 4, 9, 16 c) 2, 4, 8, 16 d) 3, 6, 12, 24.

Step-by-step explanation:

a) The first 4 terms of the sequence 1, 3, 5, 7 are simply the consecutive odd numbers. So the first 4 terms are 1, 3, 5, 7.

b) The sequence 1, 4, 9, 16 represents the squares of the consecutive natural numbers. So the first 4 terms are 1, 4, 9, 16.

c) The sequence 2, 4, 8, 16 represents the powers of 2. Each term is obtained by multiplying the previous term by 2. So the first 4 terms are 2, 4, 8, 16.

d) The sequence 3, 6, 12, 24 represents the consecutive multiples of 3. Each term is obtained by multiplying the previous term by 2. So the first 4 terms are 3, 6, 12, 24.