The Full question is
Write down the first five terms for these rules
a) 2n + 2
b) 3n - 1
c) 10n + 6
I will do one, and be happy to critique the rest of your work.
c) 10n+6 n=1, 2, 3
16, 26, 36, ...
bobpursley is this the correct answer to the sequences question 3n-1
Answer 2, 5, 8, 11, 14,
To write down the first five terms for the given rules, we need to substitute different values of 'n' and evaluate the expressions. Let's solve each rule separately:
a) 2n + 2
To find the first five terms, we substitute the values of n from 1 to 5 and evaluate the expression:
Term 1: n = 1
2(1) + 2 = 2 + 2 = 4
Term 2: n = 2
2(2) + 2 = 4 + 2 = 6
Term 3: n = 3
2(3) + 2 = 6 + 2 = 8
Term 4: n = 4
2(4) + 2 = 8 + 2 = 10
Term 5: n = 5
2(5) + 2 = 10 + 2 = 12
Therefore, the first five terms for the rule 2n + 2 are: 4, 6, 8, 10, 12.
b) 3n - 1
To find the first five terms, we substitute the values of n from 1 to 5 and evaluate the expression:
Term 1: n = 1
3(1) - 1 = 3 - 1 = 2
Term 2: n = 2
3(2) - 1 = 6 - 1 = 5
Term 3: n = 3
3(3) - 1 = 9 - 1 = 8
Term 4: n = 4
3(4) - 1 = 12 - 1 = 11
Term 5: n = 5
3(5) - 1 = 15 - 1 = 14
Therefore, the first five terms for the rule 3n - 1 are: 2, 5, 8, 11, 14.
c) 10n + 6
To find the first five terms, we substitute the values of n from 1 to 5 and evaluate the expression:
Term 1: n = 1
10(1) + 6 = 10 + 6 = 16
Term 2: n = 2
10(2) + 6 = 20 + 6 = 26
Term 3: n = 3
10(3) + 6 = 30 + 6 = 36
Term 4: n = 4
10(4) + 6 = 40 + 6 = 46
Term 5: n = 5
10(5) + 6 = 50 + 6 = 56
Therefore, the first five terms for the rule 10n + 6 are: 16, 26, 36, 46, 56.
I hope this explanation helps! Let me know if you have any further questions.