163, 159, 155, 151.... what will the 23rd term in this sequence be?
1 answer:
You might be interested in
Modulo - The result of multiplying the original number by three and the result of multiplying the digits by three must be the same.
What is modulo?
In mathematics, the phrase modulo, which literally means "with respect to a modulus of," is frequently used to claim that two different mathematical objects can be regarded as comparable if their difference is explained by a third component.
Using the Fermat's little theorem:
when x=10. You may easily establish the identity by multiplying it term by word. All terms cancel, excluding the first and last ones. Therefore, any power of ten minus one is divisible by nine, and consequently, by three
Now consider a multi-digit natural number, 43617 for example.
Other than the sum of the digits, every term on the right is divisible by 3. The result of multiplying the original number by three and the result of multiplying the digits by three must be the same.
to learn more about exponents and power visit:
#SPJ4
Answer:
In the year 2019 the number of new cars purchased will reach 15,000.
Step-by-step explanation:
t = 0 corresponds to the number of new cars purchased in 1998. If that is so, we can determine t ( time ) by making our quadratic equation here equal to 15,000 - considering that we want the year the number of cars reaches this value. t here is only the number of years to reach 15,000 cars, so we would have to add that value to 1998, to see the year that the cars will reach 15,000.
The " set up " should look like the following quadratic equation -
20t² + 135t + 3050 = 15,000 - Isolate 0 on one side,
20t² + 135t - 11950 = 0 - From here on let us solve using the quadratic equation formula,
,
... now as you can see we have two solutions, but time can't be negative, and hence our solution is the first one - about 21.3 years. 1998 + 21.3 = ( About ) The year 2019. Therefore, in the year 2019 the number of new cars purchased will reach 15,000.