In a sequence, each term is obtained by adding 8 to the preceding one. If the sum of the first 30 terms is equal to 210, what is the result of the addition of the first 50 terms?  Pick.
A) 8400
B) 8575
C) 8650
D) 8680
E) 8700
a is first term and d = 8 since the preceding number is always greater than the previous one..   Now 30th term is a+29(2).   Sum of n terms is n/2(first term + last term)and here we have to get sum of 30 terms , we get 30/2 ( a + a+58) = 210 ( given sum of 30 terms is 210)   =&gt; 15(2a+58) = 210   =&gt; 2a+58 = 14   =&gt; a = -22   Now to get sum of first 50 terms , we need to get 50th term value i.e. -22+49(8) = 370.   Sum of first 50 terms = 50/2( -22 + 370) = 8700.   Hence option 8700 is correct answer..
<result>E</result>
In a sequence, each term is obtained by adding 8 to the preceding one. If the sum of the first 30 terms is equal to 210, what is the result of the addition of the first 50 terms?