Consider the following sequence of numbers. The common ratio of the sequence is =?The sum of the first five terms of the sequence is=?Blank 1 options: -1/3,-3,1/3,3Blank 2 options: -303,183,-60,363
Accepted Solution
A:
Answer:Blank 1 is -3Blank 2 is 183Step-by-step explanation:Let r be common ratio[tex]r = \frac{ - 9}{3} \\ r = - 3[/tex]Sum of first 5 terms[tex]s = \frac{a( {r}^{n} - 1)}{r - 1} \\ s = \frac{ 3( {( - 3)}^{5} - 1) }{ - 3 - 1} \\ s = 183[/tex]