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22 votes
TIMED HURRY!! What is the sum of the series

possible answers
1,830
2,010
5,400
5,490

TIMED HURRY!! What is the sum of the series possible answers 1,830 2,010 5,400 5,490-example-1
User Peterh
by
7.3k points

2 Answers

2 votes

Answer:


\mathsf {5,490}

Explanation:


\textsf {Given :}


\lim_(1 \to \660) \sum3n


\textsf {Finding the necessary :}


\textsf {1. first term (a)}


\implies \mathsf {a = 3(1) = 3}


\textsf {2. final term}
\mathsf {(a_n)}


\implies \mathsf {a_n = 3(60) = 180}


\textsf {3. common difference (d)}


\implies \mathsf {a_2 = 3(2) = 6}


\implies \mathsf {d = a_2 - a_1 = 6 - 3 = 3}


\textsf {Finding the sum of the series :}


\implies \mathsf {S_n =(n)/(2)(a + a_n) }


\implies \mathsf {S_6_0 = (60)/(2) (3 + 180)}


\implies \mathsf {S_6_0 = 30 * 183}


\implies \mathsf {S_6_0 = 5,490}

User Erick Smith
by
6.8k points
5 votes


\\ \rm\Rrightarrow \sum^(60)_(n=1)3n

It will form a arithmetic sequence as


\\ \rm\Rrightarrow 3(1)+3(2)+3(3)\dots 3(60)

  • First term=a=3
  • Last term=3(60)=180
  • n=60

So

Summation


\\ \rm\Rrightarrow (n)/(2)(a+\ell)


\\ \rm\Rrightarrow (60)/(2)(3+180)


\\ \rm\Rrightarrow 30(183)


\\ \rm\Rrightarrow 5490

Option D

User B Seven
by
7.8k points