Complete the following sequence:
We have hundreds of course questions with personalized recommendations + Account 100% premium
Complete the following sequence:
The sequence provided is .
First, observe the difference between the first two numbers of the sequence:
.
This indicates that the sequence decreases by between consecutive terms.
Apply this pattern to find the missing numbers:
1. From , subtract to find the next term:
.
2. From , again subtract :
.
This reveals the sequence as:
.
Therefore, the missing terms in the sequence are and .
The correct answer, matching the choice is .
Determine the numerical value of the shaded area:
Subtract the second term from the first term: . This tells you the sequence decreases by 0.01 each time.
That's normal! A negative difference means the sequence is decreasing. In our case, we subtract 0.01 each time, so we're going down: 0.1 → 0.09 → 0.08 → 0.07...
Absolutely! Use the terms 0.06 and 0.05 to verify. If 0.07 → 0.06 has the same difference (0.01), and 0.06 → 0.05 also differs by 0.01, you're correct!
Line up the decimal points carefully! For , write it as:
Calculate exactly what's asked! This problem has two missing terms, so find the 3rd and 4th terms: 0.08 and 0.07.
Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime