Problema Solution
use the method of successive diffrences to determine the next term in the sequence. 20, 36, 56, 80, 108,...
Answer provided by our tutors
the difference between the first two is 16
the difference between the second and third is 20
the difference between the third and fourth is 24
the difference between the fourth and fifth is 28
*notice how each difference differs by 4, adding each 4 for each successive difference
therefore, the difference between 108 and the next term will be 28+4, or 32
so 108+32 = 140
therefore, the next term in the sequence is 140