Question 1139868
Find the sum of all even numbers from 4 to 100 inclusive, excluding those which are multiples of 3. 
<pre>Number of EVEN numbers, from 4 to 100, inclusive: {{{matrix(1,3, (100 - 4 + 2)/2, "=", 49)}}}
Sum of the 49 EVEN numbers, from 4 to 100, inclusive: {{{matrix(1,11, S[n], "=", (n/2)(a[1] + a[n]), "======>", S[49], "=", (49/2)(4 + 100), "=", (49/2)(104), "=", "2,548")}}}

Number of EVEN numbers, from 4 to 100, inclusive, that're MULTIPLES of 6 (2 * 3): {{{matrix(1,3, (96 - 6 + 6)/6, "=", 16)}}}
Sum of the 16 EVEN numbers, from 4 to 100, inclusive, that're MULTIPLES of 6: {{{matrix(1,11, S[n], "=", (n/2)(a[1] + a[n]), "======>", S[16], "=", (16/2)(6 + 96), "=", (8)(102), "=", 816)}}}

Sum of ALL EVEN numbers, from 4 to 100, inclusive, that're NOT MULTIPLES of 6: {{{highlight_green(matrix(1,3, "2,548" - 816, "=", highlight("1,732"))))}}}