Question #9ecb6

2 Answers
Austin M.
Feb 12, 2018

#n=4x# .

Explanation:

The term is multiplied by four each time to get the next term.

Jim G.
Feb 12, 2018

#a_n=6xx(4)^(n-1)#

Explanation:

#"the terms form a "color(blue)"geometric sequence"#

#"that is "a,ar,ar^2,ar^3, ...... ,ar^(n-1)#

#"where a is the first term and r the common ratio"#

#•color(white)(x)r=a_2/a_1=a_3/a_2=....=a_n/a_(n-1)#

#"the n th term is "ar^(n-1)#

#"here "r=24/6=96/24=384/96=4" and "a=6#

#rArra_n=6xx(4)^(n-1)#

#color(blue)"As a check"#

#a_1=6xx4^0=6#

#a_2=6xx4^1=24#

#a_3=6xx4^2=96#

#a_4=6xx4^3=384#

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