Given:
The given series 1, 10, 7, 16, ... will continue in the same pattern.
Required:
We need to find the next number in the given series.
Step-by-step explanation:
Consider the first two numbers.
10-1=9.
The second number is 9 more than the first number.
Consider the second and third numbers.
7-10=-3
The third number is 3 less than the second number.
Consider the third and fourth numbers.
16-7=9.
The fourth number is 9 greater than the third number.
So the pattern - add 9, subtract 3, add 9, and subtract 3.
So the fifth number is 16-3=13.
Final answer:
The next term is 13.