Math, asked by nghiatrieuphudollar, 10 months ago

Function F, when applied to any four-digit positive integer $\overline{abcd}$ , produces another positive integer, according to the rule: $F($\overline{abcd}$)$ = $a^{4} + b^{3} + c^{2} + d^{1}$ . For example, $F(2019) = 2^{4} + 0^{3} + 1^{2} + 9^{1} = 26$ .
Find the value of $F(2019) - F(2018) + F(2017) - F(2016) + ... - F(2000)$ .

Answers

Answered by manav2603

Answer:

Step-by-step explanation:

F(2019) = 26

Then F(2018) = 25(only changes in d section)

F(2017) = 24

F(2016)=23

So 26-25+24-23

=1+24-23

=25-23

Hope you mark it as the brainliest answer

Thank you

nghiatrieuphudollar: Sorry, it's incorrect. F(2019) - F(2018) + F(2017) - F(2016) + ... - F(2000) means F(2019) - F(2018) + F(2017) - F(2016) + F(2015) - F(2014) + F(2013) - F(2012) + F(2011) - F(2010) + F(2009) - F(2008) + F(2007) - F(2006) + F(2005) - F(2004) + F(2003) - F(2002) + F(2001) - F(2000)

nghiatrieuphudollar: =26-25+24-23+...-17+25-24+23-...-16=10. Anyway, thanks for help.

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Function F, when applied to any four-digit positive integer , produces another positive integer, according to the rule: = . For example, . Find the value of .

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