Question

Find the 19th term of the sequence 5, 8, 11, 14, 17...

59
51
53
56

Answer 1

59

Explanation:

So, lets look at our numbers in the sequence. So it goes 5 to 8, 8 to 11, 11 to 14, and 14 to 17. This seems like a change in three. So the every 1 term changes the orginal 5 value by 3.

So wouldnt this mean we can multiply the change in terms by the amount of terms? Which is 19*3? Well, sort of. This is the right way of doig this, but we must remember that we already know the first term, 5. So this means we will be doing 18*3.

This gets you 54. Now just add the amount of the 18 terms onto the first term:

54+5

=

59

So your answer is 59.

Hope this helps!