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katiebugg
 3 years ago
how would i find the missing term of the geometric series
a1 = 4, an = 324, r = 3
katiebugg
 3 years ago
how would i find the missing term of the geometric series a1 = 4, an = 324, r = 3

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campbell_st
 3 years ago
Best ResponseYou've already chosen the best response.1well it looks like you need to find the number of terms n use \[T_{n} = ar^{n1}\] then \[324 = 4 \times 3^{n 1}\] you need to solve for n divide both sides by 4 \[\frac{324}{4} = 3^{n 1}\] or \[81 = 3^{n 1} \] express 81 as a power of 3 \[3^4 = 3^{n 1}\] equate the powers 4 = n  1 I'll let you finish the question
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