BECE Mathematics 2024 Paper

Method IThe leap is a linear arithmetic sequence with 3 as interval (common difference)The $n$th term of a linear arithmetic sequence is given as:$U_n=U_1+(n-1)d$Where $U_1$ is the first term$n$ is the $n$th position$d$ is the common difference$\;U_1=4$$\;d=7-4=10-7=3$ Each succeeding term is obtained by adding 3 to the preceding term.$\;n=10$$\;U_{10}=4+(10-1)\times 3$$\;U_{10}=4+9\times 3$$\;U_{10}=4+27$$\;U_{10}=31$ Method IICommon difference $=7-4=10-7=3$Each succeeding term is obtained by adding 3 to the preceding term.$\;1^{\text{st}}=4$$\;2^{\text{nd}}=4+3=7$$\;3^{\text{rd}}=7+3=10$$\;4^{\text{th}}=10+3=13$$\;5^{\text{th}}=13+3=16$$\;6^{\text{th}}=16+3=19$$\;7^{\text{th}}=19+3=22$$\;8^{\text{th}}=22+3=25$$\;9^{\text{th}}=25+3=28$$\;10^{\text{th}}=28+3=31$