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3 years ago

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

Mathematics

1 answer:

Pavel [41]3 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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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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