Question

Find a pattern for these sequences:

a = 1, 2, 3, 4...
b = 0, 2, 4, 6, 8...
c = 1, 3, 5, 7...

• A. a = 2n; b=n + 1; c=2n + 1
• B. a = n + 1 ;b = 2n;c = 2n + 1
• C. a = 2n + 1;b = n + 1;c = 2n
• D. a = 2n; b = 2n + 1;c = n + 1

Answer 1

The correct option is B

a = n + 1 ;b = 2n;c = 2n + 1

For a sequence (a), we have a pattern of (n + 1) where n is the whole number.

Example: Let n = 0, then we have

a = n + 1
= 0 + 1
= 1

For sequence (b), we have pattern of 2n which is pattern for even number where 'n' is whole number

Example: For n = 0

b = 2n
= 2 × 0
= 0

For sequence (c), we have pattern of 2n + 1 which is pattern for odd numbers.

Example: For n = 0

c = 2n + 1
= 2 × 0 + 1
= 1