Question 1209780
<br>
21+27+33+...+6021<br>
The common difference is 6, so the formula for the n-th term is of the form<br>
t(n) = 6n+b<br>
t(1) = 21, so the formula is<br>
t(n) = 6n+15<br>
The last term is 6021:<br>
6n+15 = 6021
6n = 6006
n = 1001<br>
The sequence is 1001 terms with first term 21 and last term 6021.<br>
Sum = (number of terms) * (average of all the terms) = (number of terms) * (average of first and last terms)<br>
{{{(1001)((21+6021)/2)=(1001)(3021)=3021000+3021=3024021}}}<br>
ANSWER: 3024021<br>