Question

Consider the sequence 100, 95, 90, 85, 80, 75 ... What is the value of f(8)?

Answer 1

Answer:

f(8) = 65

Step-by-step explanation:

Find a pattern in the sequence. It might be an arithmetic sequence (always adds or subtract by a certain number), or a geometric sequence (always multiplies or divides by a certain number).

To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.

• 100 - 95 = 5

• 95 - 90 = 5

• 90 - 85 = 5

• 85 - 80 = 5

• 80 - 75 = 5

Now, we know that this is an arithmetic sequence, and the common difference is 5.

To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.

• f(1) = 100

• f(2) = 95

• f(3) = 90

     ......

• f(7) = 70

• f(8) = 65