Question

Consider the sequence -1, 1, 3, 5, 7.

a. Find the term-to-term rule. Be sure to give enough information to describe the
sequence fully.
b. Find the position-to-term rule in the form ‘multiply the position by … and then … ’
c. Write the position-to-term rule in terms of the nth term.
d. Show how you use the nth term to find the 50th term of the sequence.

Answer 1

a. Add +2 to each term to find the next term. There is a constant difference of 2 as the sequence proceeds.

b. Add 2 to the initial term of -1 for each step, n, in the sequence. This can be expressed as n*2

c. Let Tn be the value of the nth term in the sequence. Tn = -1 + 2*n

d. The 50th term would be:

`T_(50)` = -1+2*(50)

`T_(50)` = 99

Explanation:

Explanation made in the Answer Box.