Answered

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Find the 8th term of the geometric sequence 7,28,112,...

Sagot :

Given that the sequence is gemoetric, you must find R.

R is equal to any given term divided by the term before it.

112/28 = 4

28/7 = 4

This sequence multiplies by 4 every time

I assume yall start at s1 not s0, so simply make an equation that multiplies by 4 every time that s increases

[tex]s(n) = 7*4^{n-1}[/tex]

plug in 8

[tex]s(8) = 7 * 4^{7} \\= 114,688[/tex]

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