C. Write the first four terms of the sequence whose nth term is given by the rule.
1. an =2n-1
2. an =12-3n
3. an =3n
4. an = 5n + 5
5.an =8-2n
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C. Write the first four terms of the sequence whose nth term is given by the rule.
1. an =2n-1
2. an =12-3n
3. an =3n
4. an = 5n + 5
5.an =8-2n
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Verified answer
Answer:
1) 1, 3, 5, 7
2) 9, 6, 3, 0
3) 3, 6, 9, 12
4) 10, 15, 20, 25
5) 6, 4, 2, 0
Step-by-step explanation:
1) an=2n-1
a1=2(1)-1 = 1
a2=2(2)-1 = 3
a3=2(3)-1 = 5
a4=2(4)-1 = 7
2) an=12-3n
a1=12-3(1) = 9
a2=12-3(2) = 6
a3=12-3(3) = 3
a4=12-3(4) = 0
3) an=3n
a1=3(1) = 3
a2=3(2) = 6
a3=3(3) = 9
a4=3(4) = 12
4) an=5n+5
a1=5(1)+5 = 10
a2=5(2)+5 = 15
a3=5(3)+5 = 20
a4=5(4)+5 = 25
5) an=8-2n
a1=8-2(1) = 6
a2=8-2(2) = 4
a3=8-2(3) = 2
a4=8-2(4) = 0
Additional Information:
How do you substitute a number into an algebraic expression?
To substitute a number into an algebraic expression, simply rewrite the expression in the same way as before, but with the variable (letter) replaced by the number. Putting the number in brackets also helps to make things clearer. You can then simplify your new statement and get your answer.
Let's have a simple example:
2x + 6 where x = 2
In here the variable is x and you need to substitute it with the number 2. To get the answer, all you need to do is re-write the expression but instead of writing x, you will replace it with 2. Always use brackets.
2(2) + 6
After writing the expression, all you need to do is simplify
= (2 x 2) + 6
= 4 + 6
= 10
The answer is 10
I hope this helps!
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