The 5th term of linear sequence is 17

the sixth term of linear sequence is 21

work out the 100th term sequence

397

Step-by-step explanation:

lets say there's an eqn which is y = mx + c, x is the term no. (5, 6 in the egs provided), y is the value corresponding to x (17, 21)

to find the 100th term sequence we need to find m and c. m is how much y changes when x increases by 1

in this case we can find m easily (m = 21-17 = 4)

now we have c left so just sub one of the egs given to what we have alrd found

17 = 4 (5) + c

17 = 20 + c

c = - 3

so the eqn is y = 4x - 3, and we can solve for when x = 100

y = 4 (100) - 3

y = 397

hope this isn't too confusing : ^)