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What is the term-to-term rule of the linear sequence below? 1 , 7 , 13 , 19 , 25

2 Answers

4 votes
Answer = 6n -5

Step by step

Nth term formula is a+(n-1) d
a=1
d=6

1 + (n-1) 6
Distribute multiply the 6 with term in ( )

1 + 6n -6
Simplify

6n -5 is your rule for the sequence

Check your work

Substitute sequence terms in for n

6(1) -5 = 1

6(2) -5 =7

6(3) -5 = 13

6(4) -5 = 19

6(5) -5 = 25

Solutions are correct, problem solved!
User Kingsly
by
6.9k points
7 votes

Answer:6n-5

Explanation:

1,7,13,19,25

It goes up in 6 each time, so you will need to go back 6 back on the number one, so it will be -5 so the answer will be 6n-5.

6(2)-5 = 7
6(3)-5 =13

User Kaikuchn
by
8.3k points