If you can divide 81 by 4 and end up with a remainder of 1, then yes, 81 is a part of your sequence.
To justify that, it helps to think about ways we can represent numbers in terms of quotients and remainders. For example, if we take 10/3, we’ll obtain the quotient 3 with a remainder of 1, so another way of writing 10 would be 3(3)+1. If we replace that second three with any integer n, 3n+1 represents *every number* that leaves us with a remainder of 1 when we divide it by 3.
By the same logic, 4n+1 represents every number that leaves a remainder of 1 when we divide it by 4. 81 indeed meets this requirement, since can be written as 4(20)+1, so it would be a part of the sequence.
It is just right
Tea. 15. 90.
——- = —— = ———-
Liters 2. 12. When you multiply each by 6 you wil get the other amount it is just grater x6
70 + 78 + 91 = 239
239 - 42 - 36 = 161
Answer:
x = 71
Step-by-step explanation:
18(x + 1) = -54
to start off, subtract 18 from both sides
18 - 18(x + 1) = -54 - 18
that should give you
x + 1 = 72
(its safe to take out paranthesis from problem by now) now take away 1 from each side
x + (1 - 1) = 72 - 1
that should give you
x = 71
