BECE Mathematics 2024 Paper

Method I
The leap is a linear arithmetic sequence with 3 as interval (common difference)
The nth term of a linear arithmetic sequence is given as:
Un=U1+(n−1)d
Where U1 is the first term
n is the nth position
d is the common difference
‌U1=4
‌d=7−4=10−7=3

Each succeeding term is obtained by adding 3 to the preceding term.
‌n=10
‌U10=4+(10−1)×3
‌U10=4+9×3
‌U10=4+27
‌U10=31

Method II
Common difference =7−4=10−7=3
Each succeeding term is obtained by adding 3 to the preceding term.
‌1‌st ‌=4
‌2‌nd ‌=4+3=7
‌3‌rd ‌=7+3=10
‌4‌th ‌=10+3=13
‌5‌th ‌=13+3=16
‌6‌th ‌=16+3=19
‌7‌th ‌=19+3=22
‌8‌th ‌=22+3=25
‌9‌th ‌=25+3=28
‌10‌th ‌=28+3=31