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lesya692 [45]
2 years ago
9

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

Mathematics
1 answer:
Pavel [41]2 years ago
8 0

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

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