Question

what is the fourth term of the sequence defined by the fuction rule f(n)=5n-13? find the postion of the term of the sequence above whose value is 42?​

Answer 1

The fourth term of the sequence is 7. The term with value 42 is at position 11 in the sequence.

Step-by-step explanation:

The given sequence is defined by the function rule f(n) = 5n - 13. To find the fourth term of the sequence, we substitute n = 4 into the function equation: f(4) = 5(4) - 13 = 20 - 13 = 7. Therefore, the fourth term of the sequence is 7.

To find the position of the term whose value is 42, we can set up the equation 5n - 13 = 42 and solve for n. Adding 13 to both sides, we get 5n = 55. Dividing both sides by 5, we find n = 11. So, the term whose value is 42 is at position 11 in the sequence.