An algebra problem by Md Yusuf

the difference is increasing in this pattern----1, 2, 3, 4, 5........

so, the next term will be= $45+10=55$

Just the triangular number. So, the next term is $45 + 10 = \color{#69047E}{\boxed{55}}$ .

Its just the nth triangular number

THE DIFFERENCE BETWEEN 2 CONSECUTIVE TERMS INCREASES BY 1 THUS TILL REACHING 45 DIFF BECOMES 10 SO 45+10=55

${ x }_{ n }=\frac { n\left( n+1 \right) }{ 2 }$

x = 0; i = 0; x = x + (i + 1);

this just like an arithmetic, but plus 1 separatively

number 1 to 3: add 2.Number 3 to 6: add 3 and so on