Answer:
c
Step-by-step explanation:
By definition a counting number is all non-negative integers.
Answer:
The first three terms in the sequence are -4, -2, 0
Step-by-step explanation:
In any sequence n represents the position of the term in the sequence
<u><em>Examples:</em></u>
First term ⇒ n = 1
Second term ⇒ n = 2
Fifth term ⇒ n = 5
Let us solve our question
∵ The rule of the nth term is an = 2n - 6
→ We need to find the first three terms, means n = 1, 2, 3
∵ n = 1
∴ a1 = 2(1) - 6
∴ a1 = 2 - 6
∴ a1 = -4
∴ The first term is -4
∵ n = 2
∴ a2 = 2(2) - 6
∴ a2 = 4 - 6
∴ a2 = -2
∴ The second term is -2
∵ n = 3
∴ a3 = 2(3) - 6
∴ a3 = 6 - 6
∴ a3 = 0
∴ The third term is 0
The first three terms in the sequence are -4, -2, 0
The process is similar to (and easier* than) adding three 4-digit numbers. Add the numbers in each column.
The sum is ...
(2+1-3)x³ +(-4+6+2)x² +(6-8-4)x +(-3+12-7)
= 0x³ +4x² -6x +2
The sum is 4x² -6x +2
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* The process is easier because there are no "carry" operations from one column to another as there may be when adding multi-digit numbers.