Question

What is the sum of the first 51 terms of the sequence? −282,−266,−250,−234,...

Answer 1

Answer:

The sum of the first 51 terms of the sequence is 6018

Step-by-step explanation:

AP: −282,−266,−250,−234,...

First term = a = -282

Common difference = d = $a_2-a_1=a_3-a_2$

Common difference = d = -266-(-282)=-250-(-266)=16

Formula of sum of first n terms =$S_n=\frac{n}{2}(2a+(n-1)d)$

Substitute n = 51

So,$S_{51}=\frac{51}{2}(2(-282)+(51-1)(16))$

$S_{51}=6018$

Hence the sum of the first 51 terms of the sequence is 6018