Mathematics: The formula for the nth term b of a geometric series is b=arn-1. find n when b=1,024, a=16 and r=2.

The formula for the nth term b of a geometric series

Ответ:

Ree0628

17.01.2022

$\bf b=ar^{n-1}~~ \begin{cases} b=1024\\ a=16\\ r=2 \end{cases}\implies 1024=16(2^{n-1})~~ \begin{cases} 1024=&2^{10}\\ 16=&2^4 \end{cases} \\\\\\ 2^{10}=2^4(2^{n-1})\implies \cfrac{2^{10}}{2^4}=2^{n-1}\implies 2^{10}\cdot 2^{-4}=2^{n-1}\implies 2^{10-4}=2^{n-1} \\\\\\ 2^6=2^{n-1}\implies \stackrel{\textit{same base, the exponents must be the same}}{6=n-1\implies 7=n}$

0,0(0 оценок)

Ответ:

staceyfrog2002ovw02g

30.11.2020

Mathematics

Do a proportion

0,0(0 оценок)

The formula for the nth term b of a geometric series is b=arn-1. find n when b=1,024, a=16 and r=2.

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question