Is the number even or odd?2018−2017+2016−2015 + . . . +2–1

Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

Answer:

It is the odd number 1009

Step-by-step explanation:

Notice that this problem involves the addition of a number "1" per consecutive pair (a number minus the integer that immediately precedes it), so it adds "1" (one) every couple of consecutive numbers.

2018 - 2017 = 1

2016 - 2015 = 1

...

4- 3 = 1

2 - 1 = 1

That means it is the addition of 2018/2 = 1009 numbers "1". This clearly results on the number 1009, which is an odd number.

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Josslyn has nickels and dimes in her pocket. The number of nickels is three more than seven times the number of dimes let d repr

vfiekz [6]

$7d+3$ Explanation

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

re write the expressions

$\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\ \end{gathered}$

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence