Question

The recursive rule for a sequence and one of the specific terms is given. Find the position of the given term. f(1)=44.4, f(n)=f(n-1)+0.7; 50. The term 50 is the BLANK th term

Answer 1

To find the position of the term 50 in the sequence with the recursive rule f(n) = f(n-1) + 0.7 and first term f(1) = 44.4, we determine that 50 is the 9th term.

Step-by-step explanation:

The student's question involves finding the position of a given term in a sequence when the recursive rule and the first term are provided. The given recursive rule is f(n) = f(n-1) + 0.7, where the first term, f(1), is 44.4. To find out the position of the term 50, we will calculate how many times we need to add 0.7 to the first term to reach 50.

We start by determining the difference between the given term and the first term as follows:

• 50 - 44.4 = 5.6

Then, we divide this difference by the increment value to find the number of steps:

• 5.6 / 0.7 = 8

As f(1) is our starting term, we need to add 1 to the number of steps to get the position of the term 50:

• 8 + 1 = 9

Therefore, the term 50 is the 9th term in the sequence.