Question 977206

3, 10, 17, 24, ...
If the number pattern above continues, what will be the 100th number in the pattern? 

Please explain with detail! Thanks :0 :)
<pre>This is an arithmetic progression (AP), so the AP formula: {{{a[n] = a[1] + (n - 1)d}}} can be used
{{{a[100] = 3 + (100 - 1)7}}} ------- Substituting 100 for n, 3 for {{{a[1]}}} (1st term), and 7 for d (common difference)
{{{a[100] = 3 + (99)7}}}
{{{a[100] = 3 + 693}}}
The 100<sup>th</sup> term, or {{{highlight_green(a[100] = 696)}}}