Question

Use the pattern below for questions 6 - 8.

6, 19, 58, 175,

6. What are the next two terms in the sequence?


7. Describe what you are doing to the previous number to get the next number in the sequence.


8. What would the 8th term be in this sequence?

Answer 1

See below

Explanation:

The sequence given

• 6, 19, 58, 175

We see the pattern: triple the previous term plus 1

• 2) 19 = 6*3 + 1
• 3) 58 = 19*3 + 1
• 4) 175 = 58*3 + 1

Next two terms

• 5) 175*3 + 1 = 526
• 6) 526*3 + 1 = 1579

Following two terms

• 7) 1579*3 + 1 = 4738
• 8) 4738*3 + 1 = 14215