Question

Find the next term in this

arithmetic sequence.
79
2' 4' 1, –
1
4'
3
2'
[ ?

Answer 1

Any two consecutive terms in an arithmetic sequence have the same difference.

We can find this common difference by subtracting any two consecutive terms.

common difference = -1/4 - 1 = -5/4

Then the missing number is just -3/2 + (-5/4) = -13/4