Question

What comes next: 3, 7, 16, 35, 74, ?

• A. 153
• B. 156
• C. 151
• D. 152

Answer 1

Answer:

A. 153

Look at the pattern:

$3,\ 7,\ 16,\ 35,\ 74,\ ?$

Each term is obtained by:

$\text{Next term} = (\text{Previous term} \times 2) + 1,\ +2,\ +3,\ +4,\ldots$

Let's check:

• $(3 \times 2 + 1 = 7)$

• $(7 \times 2 + 2 = 16)$

• $(16 \times 2 + 3 = 35)$

• $(35 \times 2 + 4 = 74)$

So the next term is:

$74 \times 2 + 5 = 148 + 5 = 153$

Answer: 153.