Answer:
- 12, - 7, - 2, 3, 8
Step-by-step explanation:
The general terms of an arithmetic sequence are
a, a + d, a + 2d + ....... + a + (n - 1 )d
To obtain consecutive terms in the sequence add d = 5 to the previous term
= - 12
= - 12 + 5 = - 7
= - 7 + 5 = - 2
= - 2 + 5 = 3
= 3 + 5 = 8
Answer:
(a)
(b)
(c)
Step-by-step explanation:
The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.
The Euclidean algorithm solves the problem:
<em> Given integers </em><em>, find </em>
<em />
Here is an outline of the steps:
The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.
Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:
Step 1: Subtract D from N repeatedly.
Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.
(a) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
(b) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
(c) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .