Find a1 (first term) for the given geometric series

Ответ:

zoop55

12.03.2022

$\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ n=7\\ S_7=44405\\ r=3.4 \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf 44405=a_1\left( \cfrac{1-3.4^7}{1-3.4} \right)\implies 44405=a_1\left( \cfrac{-5251.3350144}{-2.4} \right) \\\\\\ 44405=a_1(2188.056256)\implies \cfrac{44405}{2188.056256}=a_1\implies 20.294268\approx a_1$

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Ответ:

adantrujillo1234

16.05.2020

Mathematics

a) ∠AEF and ∠DEF

b)∠BEC and ∠CED

c) ∠BED and ∠AEF

d)∠BEC and ∠CED

Step-by-step explanation:

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Find a1 (first term) for the given geometric series sn=44405 r=3.4 n=7

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